MATH 1108 R07 MIDTERM EXAM 1 SOLUTION


 Shauna Jacobs
 2 years ago
 Views:
Transcription
1 MATH 1108 R07 MIDTERM EXAM 1 SOLUTION FALL MOON Write your answer neatly and show steps. Except calculators, any electronic devices including laptops and cell phones are not allowed. Do not use the graphing function on your calculator. (1) Quick survey. (a) (1 pt) This class is: Too easy Moderate Too difficult (b) (2 pts) Write any suggestion for improving this class. (For instance, give more examples in class, explain proofs of formulas in detail, give more homework, slow down the tempo,...) (2) Suppose that the universal set U is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, and B = {4, 5, 6, 7}. (a) (2 pts) Find A B. A B = {1, 3, 4, 5, 6, 7, 9} Not using the set notation: 1 pt. (b) (2 pts) Find A. A = {2, 4, 6, 8, 10} (c) (2 pts) Find n(a B). A B = {5, 7} n(a B) = 2 Finding A B = {5, 7}: 1 pt. (d) (2 pts) Find A A. A A = Writing the answer as {}: 1 pt. Date: October 8,
2 MATH 1108 Midterm Exam 1 (3) A cable television company has 8,000 subscribers in a suburban community. The company offers two premium channels: HBO and Showtime. 2,550 subscribers receive HBO, 1,840 receive Showtime, and 5,080 do not receive any premium channel. (a) (4 pts) Sketch a Venndiagram describing the situation, and indicate the number of subscribers in each region. H: the set of subscribers receiving HBO S: the set of subscribers receiving Showtime U H S n(h) = 2550, n(s) = 1840, n((h S) ) = 5080 n(h S) = n(u) n((h S) ) = = 2920 n(h S) = n(h) + n(s) n(h S) 2920 = n(h S) n(h S) = = 1470 n(h S ) = n(h) n(h S) = = 1080 n(s H ) = n(s) n(h S) = = 370 Sketching an appropriate Venndiagram: 1 pt. Finding three numbers 1470, 1080, and 370: 1 pt each. (b) (2 pts) How many subscribers receive both HBO and Showtime? 1470 (c) (2 pts) How many subscribers receive HBO but not Showtime?
3 MATH 1108 Midterm Exam 1 (4) A jewelry store chain with 9 stores in Georgia, 12 in Florida, and 8 in Alabama is planning to close 10 of these stores. (a) (3 pts) How many ways can this be done? We have to choose 10 stores from = 29 stores. The order of choices is not important. 29C 10 = 29! 10!(29 10)! = 20, 030, 010 Stating the answer is 29 C 10 : 2 pts. Finding the answer 20, 030, 010: 3 pts. (b) (3 pts) The company decided to close 3 stores in Georgia, 5 in Florida, and 2 in Alabama. In how many ways can this be done? We have to choose 3 from 9 stores in Georgia, 5 from 12 stores in Florida, and 2 from 8 stores in Alabama, at the same time. The order of choices doesn t matter. 9C 3 12 C 5 8C 2 = 9! 3!(9 3)! 12! 5!(12 5)! 8! 2!(8 2)! Stating the answer is 9 C 3 12 C 5 8C 2 : 2 pts. Finding the answer 1, 862, 784: 3 pts. = = 1, 862, 784 (5) Suppose that a single playing card is drawn at random from a standard card deck of 52 cards. (a) (2 pts) Find the probability that the drawn card is a diamond. D: event that the drawn card is a diamond. There are 13 diamond cards among 52 cards. Therefore P (D) = = 1 4. (b) (2 pts) Find the probability that the drawn card is a face card. F : event that the drawn card is a face card. There are 12 face cards among 52 cards. So P (F ) = = (c) (2 pts) Find the probability that the drawn card is a diamond or a face card. There are 3 diamond face cards. So P (D F ) = P (D F ) = P (D) + P (F ) P (D F ) = = = (d) (2 pts) Find the probability that the drawn card is not a diamond. P (D ) = 1 P (D) = = = 3 4 3
4 MATH 1108 Midterm Exam 1 (6) A 4person committee is selected out of 2 departments, A and B, with 20 and 18 people, respectively. If 4 people are selected at random from the 38 people, what is the probability of selecting (a) (4 pts) all 4 from A? Sample space S: set of combinations of = 38 people taken 4 at a time. n(s) = 38 C 4 = E: event that all 4 were chosen from A n(e) = 20 C 4 = P (E) = n(e) n(s) = Finding an appropriate sample space S and evaluating its number of element 73815: 2 pts. Obtaining the answer : 4 pts. (b) (3 pts) 2 from A and 2 from B? F : event that 2 were chosen from A, and 2 were chosen from B n(f ) = 20 C 2 18 C 2 = = P (F ) = n(f ) n(s) = Describing the correct number of elements 20 C 2 18 C 2 : 2 pts. Getting the probability : 3 pts. (c) (4 pts) at least 3 from A? G: event that at least 3 were chosen from A There are two cases: all of 4 were chosen from A, or 3 of them were chosen from A and the remaining one were chosen from B. n(g) = 20 C C 3 18 C 1 = = P (G) = n(g) n(s) = Describing the correct number of elements 20 C C 3 18 C 1 : 3 pts. Getting the probability : 4 pts. 4
5 MATH 1108 Midterm Exam 1 (7) According to a recent report, 68.1% of men and 64.3% of women in the United States were overweight. It is also known that 49.5% of Americans are men and 50.5% are women. (a) (4 pts) Find the probability that a randomly selected American is an overweight woman. M: event that a chosen person is a man O: event that a chosen person is overweight P (O M)=0.681 O P (M)=0.495 M O P (O M)=0.319 P (M )=0.505 M P (O M )=0.643 M P (O M )=0.357 M P (M O) = P (M ) P (O M ) = Sketching the probability tree: 2 pts. Stating the probability P (M O) we need to find: +1 pt. Getting the answer 0.325: +1 pt. (b) (4 pts) Find the probability that a randomly selected American is overweight. P (O) = P (M O) + P (M O) = P (M)P (O M) + P (M )P (O M ) = Stating the probability P (O) we need to find: 2 pts. Getting the answer 0.662: 4 pts. (c) (2 pts) Is there any relation between gender and overweight? Explain your answer. P (M O) = P (M) P (O) = Because P (M O) P (M) P (O), they are dependent. If you didn t check P (M O) P (M) P (O) (or P (O) P (O M)), you can t get any credit. 5
6 MATH 1108 Midterm Exam 1 (8) (6 pts) A 2009 federal study showed that 63.8% of occupants involved in a fatal car crash wore seat belts. Of those in a fatal crash who wore seat belts, 2% were ejected from the vehicle. For those not wearing seat belts, 36% were ejected from the vehicle. Find the probability that a randomly selected person in a fatal car crash who was ejected from the vehicle was wearing a seat belt. S: event that an occupant involved in a fatal car crash wore a seat belt E: event that the occupant was ejected from the vehicle P (E S)=0.02 E P (S)=0.638 S E P (E S)=0.98 P (S )=0.362 S P (E S )=0.36 E P (E S )=0.64 Want: P (S E) P (S E) = P (S)P (E S) = E P (E) = P (S E) + P (S E) = P (S)P (E S) + P (S )P (E S ) = = P (S E) = P (S E) P (E) Sketching the probability tree: 2 pts. Describing the probability P (S E) we want to find: +1 pt. Finding P (S E) = and P (E) = : +1 pt each. Getting the answer P (E) = : +1 pt. 6
MATH 1108 MIDTERM EXAM MODEL SOLUTION
MATH 1108 MIDTERM EXAM MODEL SOLUTION FALL 013  MOON Name: FIDN#: Write your answer neatly and show steps. Except calculators, any electronic devices including a cell phone are not allowed. 1) Quick survey.
More information7.5 Conditional Probability; Independent Events
7.5 Conditional Probability; Independent Events Conditional Probability Example 1. Suppose there are two boxes, A and B containing some red and blue stones. The following table gives the number of stones
More informationChapter 15. Definitions: experiment: is the act of making an observation or taking a measurement.
MATH 11008: Probability Chapter 15 Definitions: experiment: is the act of making an observation or taking a measurement. outcome: one of the possible things that can occur as a result of an experiment.
More informationExam 1 Review Math 118 All Sections
Exam Review Math 8 All Sections This exam will cover sections..6 and 2.2.3 of the textbook. No books, notes, calculators or other aids are allowed on this exam. There is no time limit. It will consist
More informationConditional Probability
CC16 Common Core State Standards MACC.9.SCP.2.6 Find the conditional probability of A given B as the fraction of B s outcomes that also belong to A... Also MACC.9.SCP.1.1, MACC.9.SCP.1.3, MACC.9.SCP.1.4,
More information7.5: Conditional Probability
7.5: Conditional Probability Example 1: A survey is done of people making purchases at a gas station: buy drink (D) no drink (Dc) Total Buy drink(d) No drink(d c ) Total Buy Gas (G) 20 15 35 No Gas (G
More informationMA 114 Introduction to Finite Mathematics Midterm Exam 1 Solution
MA 114 Introduction to Finite Mathematics Midterm Exam 1 Solution June 2, 2010 Instructions: Show all work and justify all your steps relevant to the solution of each problem. No texts, notes, or other
More information2.5 Conditional Probabilities and 2Way Tables
2.5 Conditional Probabilities and 2Way Tables Learning Objectives Understand how to calculate conditional probabilities Understand how to calculate probabilities using a contingency or 2way table It
More informationThe UnderReporting of Cell Phone Involvement in Fatal Car Crashes
National data show cell phones were involved in 3 fatal crashes nationwide in. Both policymakers and the public may not consider it as serious a problem compared to bigger fatality factors that can be
More informationUniversity of Chicago Graduate School of Business. Business 41000: Business Statistics Solution Key
Name: OUTLINE SOLUTIONS University of Chicago Graduate School of Business Business 41000: Business Statistics Solution Key Special Notes: 1. This is a closedbook exam. You may use an 8 11 piece of paper
More informationIf we know that LeBron s next field goal attempt will be made in a game after 3 days or more rest, it would be natural to use the statistic
Section 7.4: Conditional Probability and Tree Diagrams Sometimes our computation of the probability of an event is changed by the knowledge that a related event has occurred (or is guaranteed to occur)
More informationThe number of phone calls to the attendance office of a high school on any given school day A) continuous B) discrete
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) State whether the variable is discrete or continuous.
More informationHomework #116 (Write your answer as a percent rounded to 1 decimal place.)
Homework #116 (Write your answer as a percent rounded to 1 decimal place.) 1) A class consists of 19 girls and 15 boys. If 5 of the students are to be selected at random, determine the probability they
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Sample Test 2 Math 1107 DeMaio Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Create a probability model for the random variable. 1) A carnival
More informationMargin of Error When Estimating a Population Proportion
Margin of Error When Estimating a Population Proportion Student Outcomes Students use data from a random sample to estimate a population proportion. Students calculate and interpret margin of error in
More informationName Date. Goal: Understand and represent the intersection and union of two sets.
F Math 12 3.3 Intersection and Union of Two Sets p. 162 Name Date Goal: Understand and represent the intersection and union of two sets. A. intersection: The set of elements that are common to two or more
More informationFundamentals of Probability
Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible
More informationLesson 48 Conditional Probability
(A) Opening Example #1: A survey of 500 adults asked about college expenses. The survey asked questions about whether or not the person had a child in college and about the cost of attending college. Results
More informationStatistics 100A Homework 2 Solutions
Statistics Homework Solutions Ryan Rosario Chapter 9. retail establishment accepts either the merican Express or the VIS credit card. total of percent of its customers carry an merican Express card, 6
More informationMath 201: Statistics November 30, 2006
Math 201: Statistics November 30, 2006 Fall 2006 MidTerm #2 Closed book & notes; only an A4size formula sheet and a calculator allowed; 90 mins. No questions accepted! Instructions: There are eleven pages
More information2. Three dice are tossed. Find the probability of a) a sum of 4; or b) a sum greater than 4 (may use complement)
Probability Homework Section P4 1. A twoperson committee is chosen at random from a group of four men and three women. Find the probability that the committee contains at least one man. 2. Three dice
More information11.5. A summary of this principle is now stated. The complement of a set FIGURE 8
11.5 The complement of a set FIGRE 8 Counting Problems Involving Not and Or When counting the number of ways that an event can occur (or that a task can be done), it is sometimes easier to take an indirect
More informationUnit 18: Introduction to Probability
Unit 18: Introduction to Probability Summary of Video There are lots of times in everyday life when we want to predict something in the future. Rather than just guessing, probability is the mathematical
More informationChiSquare Tests TEACHER NOTES MATH NSPIRED. Math Objectives. Vocabulary. About the Lesson
Math Objectives Students will recognize that chisquared tests are for counts of categorical data. Students will identify the appropriate chisquared test to use for a given situation: 2 Goodness of Fit
More information4) The goodness of fit test is always a one tail test with the rejection region in the upper tail. Answer: TRUE
Business Statistics, 9e (Groebner/Shannon/Fry) Chapter 13 Goodness of Fit Tests and Contingency Analysis 1) A goodness of fit test can be used to determine whether a set of sample data comes from a specific
More informationSamples and Surveys. Objectives To identify sampling methods To recognize bias in samples and surveys
CC19 Samples and Surveys Objectives To identify sampling methods To recognize bias in samples and surveys Common Core State Standards MACC.912.SIC.1.1 Understand statistics as a process for making inferences
More informationQuestion of the Day. Key Concepts. Vocabulary. Mathematical Ideas. QuestionofDay
QuestionofDay Question of the Day What is the probability that in a family with two children, both are boys? What is the probability that in a family with two children, both are boys, if we already know
More informationMath 117 Chapter 7 Sets and Probability
Math 117 Chapter 7 and Probability Flathead Valley Community College Page 1 of 15 1. A set is a welldefined collection of specific objects. Each item in the set is called an element or a member. Curly
More informationIndependence Day 2016 Holiday Period Traffic Fatality Estimate
Independence Day 2016 Holiday Period Traffic Fatality Estimate The 2016 Independence Day holiday period begins at 6:00 p.m., Friday, July 1, and ends at 11:59 p.m., Monday, July 4. Our estimate of traffic
More informationProbability: Events and Probabilities
Probability: Events and Probabilities PROBABILITY: longrun relative frequency; likelihood or chance that an outcome will happen. A probability is a number between 0 and 1, inclusive, EVENT: An outcome
More informationSample Induction Proofs
Math 3 Worksheet: Induction Proofs III, Sample Proofs A.J. Hildebrand Sample Induction Proofs Below are model solutions to some of the practice problems on the induction worksheets. The solutions given
More informationSample Problems For Exam 2
Sample Problems For Exam 2 This collection of questions is intended to give you, the student, an idea of different types of questions that might be asked by your instructor. This is not intended to represent
More informationName: Math 29 Probability. Practice Second Midterm Exam 1. 1. Show all work. You may receive partial credit for partially completed problems.
Name: Math 29 Probability Practice Second Midterm Exam 1 Instructions: 1. Show all work. You may receive partial credit for partially completed problems. 2. You may use calculators and a onesided sheet
More informationLesson 17: Margin of Error When Estimating a Population Proportion
Margin of Error When Estimating a Population Proportion Classwork In this lesson, you will find and interpret the standard deviation of a simulated distribution for a sample proportion and use this information
More informationIt s undeniable that the cable industry has been in a bit of turmoil over the
Are Sports Really the Glue Holding the Cable Bundle Together? It s undeniable that the cable industry has been in a bit of turmoil over the last several years. The growth rate of cable subscriptions has
More informationReview for Grade 9 Math Exam  Unit 6  Linear Equations and Inequalities
Review for Grade 9 Math Exam  Unit 6  Linear Equations and Inequalities Name: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Solve: a. 46 3 b.
More informationJUVENILES BEHIND THE WHEEL LAWS FOR YOUNG DRIVERS
JUVENILES BEHIND THE WHEEL LAWS FOR YOUNG DRIVERS Mara Dudley Llano Municipal Court Where Are We Going? Identify relevant statutes applicable to young drivers Discuss the need for restrictive laws on young
More informationMath 108 Exam 3 Solutions Spring 00
Math 108 Exam 3 Solutions Spring 00 1. An ecologist studying acid rain takes measurements of the ph in 12 randomly selected Adirondack lakes. The results are as follows: 3.0 6.5 5.0 4.2 5.5 4.7 3.4 6.8
More informationMATH 10: Elementary Statistics and Probability Chapter 3: Probability Topics
MATH 10: Elementary Statistics and Probability Chapter 3: Probability Topics Tony Pourmohamad Department of Mathematics De Anza College Spring 2015 Objectives By the end of this set of slides, you should
More informationConfidence Intervals: Homework
Confidence Intervals: Homework NOTE: If you are using a studentt distribution for a homework problem below, you may assume that the underlying population is normally distributed. (In general, you must
More informationThe practice test follows this cover sheet. It is very similar to the real Chapter Test.
AP Stats Unit IV (Chapters 1417) TakeHome Test Info The practice test follows this cover sheet. It is very similar to the real Chapter 1417 Test. The real test will consist of 20 multiplechoice questions
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Ch. 4 Discrete Probability Distributions 4.1 Probability Distributions 1 Decide if a Random Variable is Discrete or Continuous 1) State whether the variable is discrete or continuous. The number of cups
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data. 1) Bill kept track of the number of hours he spent
More informationRelative Risk, Odds, and Fisher s exact test
Relative Risk, Odds, and Fisher s exact test I) Relative Risk A) Simply, relative risk is the ratio of p 1 / p 2. For instance, suppose we wanted to take another look at our Seat belt safety data from
More informationIntroductory Probability. MATH 107: Finite Mathematics University of Louisville. March 5, 2014
Introductory Probability MATH 07: Finite Mathematics University of Louisville March 5, 204 What is probability? Counting and probability 2 / 3 Probability in our daily lives We see chances, odds, and probabilities
More informationSection 65 Sample Spaces and Probability
492 6 SEQUENCES, SERIES, AND PROBABILITY 52. How many committees of 4 people are possible from a group of 9 people if (A) There are no restrictions? (B) Both Juan and Mary must be on the committee? (C)
More informationACMS 10140 Section 02 Elements of Statistics October 28, 2010 Midterm Examination II Answers
ACMS 10140 Section 02 Elements of Statistics October 28, 2010 Midterm Examination II Answers Name DO NOT remove this answer page. DO turn in the entire exam. Make sure that you have all ten (10) pages
More informationEXAM. Exam #3. Math 1430, Spring 2002. April 21, 2001 ANSWERS
EXAM Exam #3 Math 1430, Spring 2002 April 21, 2001 ANSWERS i 60 pts. Problem 1. A city has two newspapers, the Gazette and the Journal. In a survey of 1, 200 residents, 500 read the Journal, 700 read the
More informationElementary Statistics. Probability Rules with Venn & Tree Diagram
Probability Rules with Venn & Tree Diagram What are some basic Probability Rules? There are three basic Probability Rules: Complement Rule Addition Rule Multiplication Rule What is the Complement Rule?
More informationMath227 Homework (Probability Practices) Name
Math227 Homework (Probability Practices) Name 1) Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the
More informationAttachment D FIBER OPTICS SYSTEM  PHONE SURVEY 3/11/03
Attachment D FIBER OPTICS SYSTEM  PHONE SURVEY 3/11/03 Completed 204 Terminated 8 Qualified  Refuse to Participate 7 Total Not Qualified 26 NQ  Does not live in Palo Alto 10 NQ.SQ1  Participated in
More informationSection: 101 (10am11am) 102 (11am12pm) 103 (1pm2pm) 104 (1pm2pm)
Stat 0 Midterm Exam Instructor: Tessa ChildersDay 1 May 014 Please write your name and student ID below, and circle your section. With your signature, you certify that you have not observed poor or dishonest
More informationHomework 8 Solutions
Homework 8 Solutions Chapter 5D Review Questions. 6. What is an exponential scale? When is an exponential scale useful? An exponential scale is one in which each unit corresponds to a power of. In general,
More informationCC15. This sounds like a great idea for a television game show! MATHEMATICAL. Lesson Vocabulary conditional probability contingency table
1 Interactive earning Solve It! State Standards MA.9.SP.2.6 Find the conditional probability of A given B as the fraction of B s outcomes that also belong to A... Also MA.9.SP.1.1, MA.9.SP.1.3, MA.9.SP.1.4,
More informationTest 12 Tests of Significance Homework Part 1 (Chpts & 11.2)
Name Period Test 12 Tests of Significance Homework Part 1 (Chpts. 12.2 & 11.2) 1. School officials are interested in implementing a policy that would allow students to bring their own technology to school
More informationEC 112 SAMPLING, ESTIMATION AND HYPOTHESIS TESTING. One and One Half Hours (1 1 2 Hours) TWO questions should be answered
ECONOMICS EC 112 SAMPLING, ESTIMATION AND HYPOTHESIS TESTING One and One Half Hours (1 1 2 Hours) TWO questions should be answered Statistical tables are provided. The approved calculator (that is, Casio
More informationOdds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes.
MATH 11008: Odds and Expected Value Odds: Odds compares the number of favorable outcomes to the number of unfavorable outcomes. Suppose all outcomes in a sample space are equally likely where a of them
More informationSTATISTICS GUIDED NOTEBOOK/FOR USE WITH MARIO TRIOLA S TEXTBOOK ESSENTIALS OF STATISTICS, 4TH ED.
CHAPTER PROBLEM How do we design airplanes, boats, cars, and homes for safety and comfort? Ergonomics involves the study of people fitting into their environments. Ergonomics is used in a wide variety
More information1) The table lists the smoking habits of a group of college students. Answer: 0.218
FINAL EXAM REVIEW Name ) The table lists the smoking habits of a group of college students. Sex Nonsmoker Regular Smoker Heavy Smoker Total Man 5 52 5 92 Woman 8 2 2 220 Total 22 2 If a student is chosen
More informationITSMR Research Note. Cell Phone Use and Other Driver Distractions: A Status Report KEY FINDINGS ABSTRACT INTRODUCTION.
September 2012 KEY FINDINGS Observational Surveys 15% of the drivers observed in 2012 were engaged in some type of distracted driving behavior, down from in 2007. 4. of the drivers observed in the 2012
More informationData Chapter Questions. 1. How do scatter plots help us analyze data from bivariate data?
Data Chapter Questions 1. How do scatter plots help us analyze data from bivariate data? 2. What is the prediction equation and what information can it tell us? 3. What is a twoway table? What is relative
More informationProbability. What is the probability that Christ will come again to judge all mankind?
Probability What is the probability that Christ will come again to judge all mankind? Vocabulary Words Definition of Probability English definition Math definition Inequality range for Probability Sample
More informationIn this session, we ll address the issue Once you have data, what do you do with it? Session will include discussion & a data analysis exercise
Introduce self. Link this talk to the two previous data talks We ve discussed the importance of data to an IP Program We ve identified sources of communitybased injury data and We ve discussed planning
More informationProbability QUESTIONS Principles of Math 12  Probability Practice Exam 1 www.math12.com
Probability QUESTIONS Principles of Math  Probability Practice Exam www.math.com Principles of Math : Probability Practice Exam Use this sheet to record your answers:... 4... 4... 4.. 6. 4.. 6. 7..
More informationfrequency of E sample size
Chapter 4 Probability (Page 1 of 24) 4.1 What is Probability? Probability is a numerical measure between 0 and 1 that describes the likelihood that an event will occur. Probabilities closer to 1 indicate
More informationStatistics E100 Fall 2013 Midterm I Exam Solutions
STATISTICS E100 FALL 2013 MIDTERM I EXAM SOLUTIONS PAGE 1 OF 7 Statistics E100 Fall 2013 Midterm I Exam Solutions 1. (9 points) Forbes magazine published data on the annual salary of the chief executive
More informationMATH Exam 3 Review All material covered in class is eligible for exam, this review is not all inclusive.
MATH 132  Exam 3 Review All material covered in class is eligible for exam, this review is not all inclusive. 1. (6.3) A test consists of ten trueorfalse questions. If a student randomly chooses answers
More informationHigh School Statistics and Probability Common Core Sample Test Version 2
High School Statistics and Probability Common Core Sample Test Version 2 Our High School Statistics and Probability sample test covers the twenty most common questions that we see targeted for this level.
More informationGrade 7/8 Math Circles Fall 2012 Probability
1 University of Waterloo Faculty of Mathematics Centre for Education in Mathematics and Computing Grade 7/8 Math Circles Fall 2012 Probability Probability is one of the most prominent uses of mathematics
More informationB A S I C S C I E N C E S
B A S I C S C I E N C E S 10 B A S I C S C I E N C E S F I R S T S E M E S T E R C O U R S E S : H U M A N S T R U C T U R E A N D F U N C T I O N [ H S F I ] M O L E C U L A R B A S I S O F M E D I C
More informationACMS 10140 Section 02 Elements of Statistics October 28, 2010. Midterm Examination II
ACMS 10140 Section 02 Elements of Statistics October 28, 2010 Midterm Examination II Name DO NOT remove this answer page. DO turn in the entire exam. Make sure that you have all ten (10) pages of the examination
More informationSolutions for Review Problems for Exam 2 Math 1040 1 1. You roll two fair dice. (a) Draw a tree diagram for this experiment.
Solutions for Review Problems for Exam 2 Math 1040 1 1. You roll two fair dice. (a) Draw a tree diagram for this experiment. 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 1 2
More information4.3. Addition and Multiplication Laws of Probability. Introduction. Prerequisites. Learning Outcomes. Learning Style
Addition and Multiplication Laws of Probability 4.3 Introduction When we require the probability of two events occurring simultaneously or the probability of one or the other or both of two events occurring
More informationUniversity of California, Los Angeles Department of Statistics. Normal distribution
University of California, Los Angeles Department of Statistics Statistics 100A Instructor: Nicolas Christou Normal distribution The normal distribution is the most important distribution. It describes
More information2. How many ways can the letters in PHOENIX be rearranged? 7! = 5,040 ways.
Math 142 September 27, 2011 1. How many ways can 9 people be arranged in order? 9! = 362,880 ways 2. How many ways can the letters in PHOENIX be rearranged? 7! = 5,040 ways. 3. The letters in MATH are
More informationMath 240 Practice Exam 1 Note: Show all work whenever possible for full credit. You may leave your answers in terms of fractions.
Name: (Solution on last page)... Math 240 Practice Exam 1 Note: Show all work whenever possible for full credit. You may leave your answers in terms of fractions. Formulas: 2 2 x x n x x s x x n f x f
More informationLesson 3: Calculating Conditional Probabilities and Evaluating Independence Using TwoWay Tables
Calculating Conditional Probabilities and Evaluating Independence Using TwoWay Tables Classwork Example 1 Students at Rufus King High School were discussing some of the challenges of finding space for
More informationCork Institute of Technology. CIT Mathematics Examination, Paper 1 Sample Paper A
Cork Institute of Technology CIT Mathematics Examination, 2015 Paper 1 Sample Paper A Answer ALL FIVE questions. Each question is worth 20 marks. Total marks available: 100 marks. The standard Formulae
More informationWeek in Review #3 (L.1L.2, )
Math 166 WeekinReview  S. Nite 9/26/2012 Page 1 of 6 Week in Review #3 (L.1L.2, 1.11.7) 1. onstruct a truth table for (p q) (p r) p Q R p q r p r ( p r) (p q) (p r) T T T T F F T T T T F T T T F F
More informationUnit 8: Normal Calculations
Unit 8: Normal Calculations Summary of Video In this video, we continue the discussion of normal curves that was begun in Unit 7. Recall that a normal curve is bellshaped and completely characterized
More informationMotor Vehicle Collision Form
Patients Name: Date: / / 1) Please choose the date of the MVC: / / 2) Please the time of the MVC: : am / pm 3) Please enter the number of vehicles involved in the MVC: 1 2 3 4 5 6 7 8 9 4) In dollars,
More informationConditional Probability and General Multiplication Rule
Conditional Probability and General Multiplication Rule Objectives:  Identify Independent and dependent events  Find Probability of independent events  Find Probability of dependent events  Find Conditional
More informationFall 2015 Midterm 1 24/09/15 Time Limit: 80 Minutes
Math 340 Fall 2015 Midterm 1 24/09/15 Time Limit: 80 Minutes Name (Print): This exam contains 6 pages (including this cover page) and 5 problems. Enter all requested information on the top of this page,
More information7.1 Sample space, events, probability
7.1 Sample space, events, probability In this chapter, we will study the topic of probability which is used in many different areas including insurance, science, marketing, government and many other areas.
More informationThe Binomial Probability Distribution
The Binomial Probability Distribution MATH 130, Elements of Statistics I J. Robert Buchanan Department of Mathematics Fall 2015 Objectives After this lesson we will be able to: determine whether a probability
More informationStat1600 Midterm #2 Solution to Form A
Stat1600 Midterm #2 Solution to Form A 1. Of 100 adults selected randomly from one town, 64 have health insurance. A researcher wants to construct a 95% confidence interval for the percentage of all adults
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A coin is tossed. Find the probability that the result
More informationChapter 4: Probability and Counting Rules
Chapter 4: Probability and Counting Rules Learning Objectives Upon successful completion of Chapter 4, you will be able to: Determine sample spaces and find the probability of an event using classical
More informationExam 3 Review/WIR 9 These problems will be started in class on April 7 and continued on April 8 at the WIR.
Exam 3 Review/WIR 9 These problems will be started in class on April 7 and continued on April 8 at the WIR. 1. Urn A contains 6 white marbles and 4 red marbles. Urn B contains 3 red marbles and two white
More informationCONTINGENCY (CROSS TABULATION) TABLES
CONTINGENCY (CROSS TABULATION) TABLES Presents counts of two or more variables A 1 A 2 Total B 1 a b a+b B 2 c d c+d Total a+c b+d n = a+b+c+d 1 Joint, Marginal, and Conditional Probability We study methods
More informationSTAB47S:2003 Midterm Name: Student Number: Tutorial Time: Tutor:
STAB47S:200 Midterm Name: Student Number: Tutorial Time: Tutor: Time: 2hours Aids: The exam is open book Students may use any notes, books and calculators in writing this exam Instructions: Show your reasoning
More informationDrunk Driving Accident Statistics
Drunk Driving Accident Statistics Drunk Driving Legal Resources Drunk Driving Laws by State Video  Rights of Injured Drivers Defective Car Products & Parts Steps to Take After a Car Crash Auto Accident
More informationMind on Statistics. Chapter 4
Mind on Statistics Chapter 4 Sections 4.1 Questions 1 to 4: The table below shows the counts by gender and highest degree attained for 498 respondents in the General Social Survey. Highest Degree Gender
More informationhttps://assessment.casa.uh.edu/assessment/printtest.htm PRINTABLE VERSION Quiz 10
1 of 8 4/9/2013 8:17 AM PRINTABLE VERSION Quiz 10 Question 1 Let A and B be events in a sample space S such that P(A) = 0.34, P(B) = 0.39 and P(A B) = 0.19. Find P(A B). a) 0.4872 b) 0.5588 c) 0.0256 d)
More informationA Few Basics of Probability
A Few Basics of Probability Philosophy 57 Spring, 2004 1 Introduction This handout distinguishes between inductive and deductive logic, and then introduces probability, a concept essential to the study
More informationProbability. Experiment  any happening for which the result is uncertain. Outcome the possible result of the experiment
Probability Definitions: Experiment  any happening for which the result is uncertain Outcome the possible result of the experiment Sample space the set of all possible outcomes of the experiment Event
More informationBiostatistics and Epidemiology within the Paradigm of Public Health. Sukon Kanchanaraksa, PhD Marie DienerWest, PhD Johns Hopkins University
This work is licensed under a Creative Commons AttributionNonCommercialShareAlike License. Your use of this material constitutes acceptance of that license and the conditions of use of materials on this
More information1. What are the two types of hypotheses used in a hypothesis test? How are they related?
Math 10  Homework 6 Part A 1. What are the two types of hypotheses used in a hypothesis test? How are they related? 2. Describe the two types of error possible in a hypothesis test decision. True or False?
More informationThe Normal Distribution
Chapter 6 The Normal Distribution 6.1 The Normal Distribution 1 6.1.1 Student Learning Objectives By the end of this chapter, the student should be able to: Recognize the normal probability distribution
More informationChapter 3: The basic concepts of probability
Chapter 3: The basic concepts of probability Experiment: a measurement process that produces quantifiable results (e.g. throwing two dice, dealing cards, at poker, measuring heights of people, recording
More information