Section Probability (p.55)
|
|
|
- Coral Lang
- 10 years ago
- Views:
Transcription
1 Section Probability (p Suppose that in a senior college class of 500 students it is found that 210 smoke, 258 drink alcoholic beverage, 216 eat between meals, 122 smoke and drink alcoholic beverages, 83 eat between meals and drink alcoholic beverages, 97 smoke and eat between meals, and 52 engage in all three of these bad health practices. If a member of this senior class is selected at random, find the probability that the student (a smokes but does not drink alcoholic beverages; Let A be the event that students smoke, B be the event that students drink alcoholic beverage, and C be the event that students eat between meals. P (A B P (A P (A B (b eats between meals and drinks alcoholic beverages but does not smoke; P (C B A P (B C P (A B C (c neither smokes nor eats between meals. P ((A C 1 P (A C From past experiences a stockbroker believes that under present economic conditions a customer will invest in tax-free bonds with a probability of 0.6, will invest in mutual funds with a probability of 0.3, and will invest in both tax-free bonds and mutual funds with a probability of At this time, find the probability that a customer will invest (a in either tax-free bond or mutual funds; Let A be an event that a customer will invest in tax-free bonds and B be an event that a customer will invest in mutual funds. Then, P (A 0.6, P (B 0.3, and P (A B P (A B P (A + P (B P (A B (b in neither tax-free bonds nor mutual funds. P ((A B 1 P (A B
2 2.60 A pair of fair dice is tossed. Find the probability of getting (a a total of 8; Let A be an event that getting a total of 8. A {(2, 6, (3, 5, (4, 4, (5, 3, (6, 2} P (A 5 36 (b at most a total of 5. Let B be an event that getting at most of a total of 5. B {(1, 1, (1, 2, (2, 1, (1, 3, (2, 2, (3, 1, (1, 4, (2, 3, (3, 2, (4, 1} P (B If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a dictionary, what is the probability that (a the dictionary is selected? Let A be an event that the dictionary is selected. n ( 1 8 1( 2 8! 2!6! 28 N ( 9 3 9! 3!6! 84 P (A n N (b 2 novels and 1 book of poems are selected? Let B be an event that 2 novels and 1 book of poems are selected. n ( 5 3 2( 1 5! 2!3! 3! 1!2! N ( 9 3 9! 3!6! 84 P (B n N In a poker band consisting of 5 cards, find the probability of holding (a 3 aces; n ( 4 3 N ( 52 5 ( ! 52! 3!1! 48! 2!46! !47! P (A n N (b 4 hearts and 1 club. 2
3 n ( 13 4 N ( 52 5 ( ! 52! 4!9! 13! 12!1! !47! P (A n N In a game of Yahtzee, where 5 dice are tossed simultaneously, find the probability of getting 4 of a kind. Any four of a kind, say four 2 s and one 5 occur in ( ways each with probability (1/6(1/6(1/6(1/6(1/6 (1/6 5. Since there are ways to choose various pairs of numbers to constitute four of one kind and one of the other (we use permutation instead of combination is because that four 2 s and one 5, and four 5 s and one 2 are two different ways, the probability is (5(3(1/ Section Conditional probability (p A random sample of adults are classified below by sex and their level of education attained. If a person is picked at random from this group, find the probability that (a the person is a male, given that the person has a secondary education; Let M be an event that the person is a male and S be an event that the person has a secondary education. P (S P (M S 28 P (M S P (M S P (S (b the person does not have a college degree, given that the person is a female. Let F be an event that the person is a female and C be an event that the person have a college degree. P (F P (C F P (C F P (C F P (F
4 2.85 The probability that a married man wathces a certain television show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Find the probability that (a a married couple watches the show; Let M be an event that a married man watches the show and W be an event that a married woman watches the show. P (M 0.4,P (W 0.5,P (M W 0.7 P (M W P (MP (M W (b a wife watches the show given that her husband does; P (W M P (M W P (M (c at least 1 person of a married couple will watch the show. P (W M P (M + P (W P (M W A town has 2 fire engines operating independently. The probability that a specific engine is available when needed is (a What is the probability that neither is available when needed? Let A 1 be an event that one fire engine is available and A 2 be an event that the other fire engine is available. P (A 1 A 2 P (A 1P (A 2 (1 P (A 1 (1 P (A 2 ( ( (b What is the probability that a fire engine is available when needed? P (A 1 A 2 1 P (A 1 A Find the probability of randomly selecting 4 good quarts of milk in succession from a cooler containing 20 quarts of which 5 have spoiled, by using (a the first formula of Theorem 2.15 on page 64; 4
5 Let A 1 be an event that the first quart of milk is good, A 2 be an event that the second quart of milk is good, A 3 be an event that the third quart of milk is good, and A 4 be an event that the forth quart of milk is good. P (A P (A 2 A P (A 3 A 1 A P (A 4 A 1 A 2 A P (A 1 A 2 A 3 A 4 P (A 1 P (A 2 A 1 P (A 3 A 1 A 2 P (A 4 A 1 A 2 A (b the formulas of Theorem 2.8 and 2.9 on pages 46 and 50, respectively. Let A be an event that the 4 quarts of milk are good. n ( ! 4!11! N ( ! 4!16! P (A n N 15! 4!11! 20! 4!16! Section 2.8 Bayes rule (p In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that a person is diagnosed as having cancer? Let C be an event that a person with cancer is 0.05 and D be an event that a doctor diagnosing a person as having the disease. P (C 0.05,P (D C 0.78,P (D C 0.06 P (D P (D C + P (D C P (CP (D C + P (C P (D C Referring to Excercise 2.101, what is the probability that a person diagnosed as having cancer actually has the disease? P (C D P (C D P (CP (D C P (D P (D Pollution of the rivers in the United States has been a problem for many years. Consider the following events: 5
6 AThe river is polluted. BA sample of water tested detects pollution. CFishing permitted. Assume P (A 0.3, P (B A 0.75, P (B A 0.20, P (C A B 0.20, P (C A B 0.15, P (C A B 0.80, and P (C A B (a Find P (A B C. P (A 0.3 P (A B P (AP (B A P (A B C P (A BP (C A B (b Find P (B C. P (A B P (A P (B A ( P (A B C P (A BP (C A B P (A B P (A P (A B P (A B C P (A B P (C A B P (B P (A B + P (A B P (A B P (A + P (B P (A B P (A B C P (A B P (C A B (1 P (A B P (C A B ( P (B C P (A B C + P (A B C (c Find P (C. P (C P (B C+P (A B C+P (A B C (d Find the probability that the river is polluted, given that fishing is permitted and the sample tested did not detect pollution. P (A C B P (A B C P (B C
Statistics 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
Week 2: Conditional Probability and Bayes formula
Week 2: Conditional Probability and Bayes formula We ask the following question: suppose we know that a certain event B has occurred. How does this impact the probability of some other A. This question
AP Stats - Probability Review
AP Stats - Probability Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. I toss a penny and observe whether it lands heads up or tails up. Suppose
Combinations If 5 sprinters compete in a race, how many different ways can the medals for first, second and third place, be awarded
Combinations If 5 sprinters compete in a race, how many different ways can the medals for first, second and third place, be awarded If 5 sprinters compete in a race and the fastest 3 qualify for the relay
Find the indicated probability. 1) If a single fair die is rolled, find the probability of a 4 given that the number rolled is odd.
Math 0 Practice Test 3 Fall 2009 Covers 7.5, 8.-8.3 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the indicated probability. ) If a single
A probability experiment is a chance process that leads to well-defined outcomes. 3) What is the difference between an outcome and an event?
Ch 4.2 pg.191~(1-10 all), 12 (a, c, e, g), 13, 14, (a, b, c, d, e, h, i, j), 17, 21, 25, 31, 32. 1) What is a probability experiment? A probability experiment is a chance process that leads to well-defined
Bayesian Tutorial (Sheet Updated 20 March)
Bayesian Tutorial (Sheet Updated 20 March) Practice Questions (for discussing in Class) Week starting 21 March 2016 1. What is the probability that the total of two dice will be greater than 8, given that
MULTIPLE 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
Lecture 13. Understanding Probability and Long-Term Expectations
Lecture 13 Understanding Probability and Long-Term Expectations Thinking Challenge What s the probability of getting a head on the toss of a single fair coin? Use a scale from 0 (no way) to 1 (sure thing).
Review for Test 2. Chapters 4, 5 and 6
Review for Test 2 Chapters 4, 5 and 6 1. You roll a fair six-sided die. Find the probability of each event: a. Event A: rolling a 3 1/6 b. Event B: rolling a 7 0 c. Event C: rolling a number less than
Homework 8 Solutions
CSE 21 - Winter 2014 Homework Homework 8 Solutions 1 Of 330 male and 270 female employees at the Flagstaff Mall, 210 of the men and 180 of the women are on flex-time (flexible working hours). Given that
EXAM. 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
The Calculus of Probability
The Calculus of Probability Let A and B be events in a sample space S. Partition rule: P(A) = P(A B) + P(A B ) Example: Roll a pair of fair dice P(Total of 10) = P(Total of 10 and double) + P(Total of
21. Risk Assessment Online Surveys (computer-based session)
HEALTH LITERACY CURRICULUM Adult Learner 21. Risk Assessment Online Surveys (computer-based session) Objectives Note: If you have not done #7, Filling Out a Health History, you may need to pre-teach some
Department of Industrial Engineering IE 202: Engineering Statistics Example Questions Spring 2012
Department of Industrial Engineering IE 202: Engineering Statistics Example Questions Spring 202. Twenty workers are to be assigned to 20 different jobs, one to each job. How many different assignments
E3: PROBABILITY AND STATISTICS lecture notes
E3: PROBABILITY AND STATISTICS lecture notes 2 Contents 1 PROBABILITY THEORY 7 1.1 Experiments and random events............................ 7 1.2 Certain event. Impossible event............................
Additional Probability Problems
Additional Probability Problems 1. A survey has shown that 52% of the women in a certain community work outside the home. Of these women, 64% are married, while 86% of the women who do not work outside
Mexican Wedding Traditions
V.I.P. ARTICLE SUBMITTED BY: Lily Trevino Spouse of Doctoral Graduate Student Rice University Mexican Wedding Traditions Mexico is recognized for loving parties, and weddings are excellent occasions to
1) 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 Non-smoker Regular Smoker Heavy Smoker Total Man 5 52 5 92 Woman 8 2 2 220 Total 22 2 If a student is chosen
6.042/18.062J Mathematics for Computer Science. Expected Value I
6.42/8.62J Mathematics for Computer Science Srini Devadas and Eric Lehman May 3, 25 Lecture otes Expected Value I The expectation or expected value of a random variable is a single number that tells you
Patient Demographic Sheet
Patient Demographic Sheet Patient Name: Date of Birth: Address: City, State, Zip Code: Home Phone: Cell Phone: Work Phone: E-Mail: Sex: Male Female Marital Status: Married Single Other Occupation: Employer:
Homework Help Heart Disease & Stroke
Preventing Heart Disease & Stroke What causes heart disease and stroke? high blood pressure high cholesterol diabetes smoking stress drinking too much alcohol not being physically active being overweight
How To Solve The Social Studies Test
Math 00 Homework #0 Solutions. Section.: ab. For each map below, determine the number of southerly paths from point to point. Solution: We just have to use the same process as we did in building Pascal
Math 370, Actuarial Problemsolving Spring 2008 A.J. Hildebrand. Problem Set 1 (with solutions)
Math 370, Actuarial Problemsolving Spring 2008 A.J. Hildebrand Problem Set 1 (with solutions) About this problem set: These are problems from Course 1/P actuarial exams that I have collected over the years,
OPRE504 Chapter Study Guide Chapter 7 Randomness and Probability. Terminology of Probability. Probability Rules:
OPRE504 Chapter Study Guide Chapter 7 Randomness and Probability Terminology of Probability For a Random phenomenon, there are a number of possible Outcomes. For example, tossing a coin could result in
Mind 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
CONTINGENCY (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
Chapter 5 A Survey of Probability Concepts
Chapter 5 A Survey of Probability Concepts True/False 1. Based on a classical approach, the probability of an event is defined as the number of favorable outcomes divided by the total number of possible
Lecture Note 1 Set and Probability Theory. MIT 14.30 Spring 2006 Herman Bennett
Lecture Note 1 Set and Probability Theory MIT 14.30 Spring 2006 Herman Bennett 1 Set Theory 1.1 Definitions and Theorems 1. Experiment: any action or process whose outcome is subject to uncertainty. 2.
LECTURE 3. Probability Computations
LECTURE 3 Probability Computations Pg. 67, #42 is one of the hardest problems in the course. The answer is a simple fraction there should be a simple way to do it. I don t know a simple way I used the
Math 370/408, Spring 2008 Prof. A.J. Hildebrand. Actuarial Exam Practice Problem Set 1
Math 370/408, Spring 2008 Prof. A.J. Hildebrand Actuarial Exam Practice Problem Set 1 About this problem set: These are problems from Course 1/P actuarial exams that I have collected over the years, grouped
Conditional Probability
Chapter 4 Conditional Probability 4. Discrete Conditional Probability Conditional Probability In this section we ask and answer the following question. Suppose we assign a distribution function to a sample
Mind on Statistics. Chapter 10
Mind on Statistics Chapter 10 Section 10.1 Questions 1 to 4: Some statistical procedures move from population to sample; some move from sample to population. For each of the following procedures, determine
Basic Probability. Probability: The part of Mathematics devoted to quantify uncertainty
AMS 5 PROBABILITY Basic Probability Probability: The part of Mathematics devoted to quantify uncertainty Frequency Theory Bayesian Theory Game: Playing Backgammon. The chance of getting (6,6) is 1/36.
High Blood Sugar. Printable Materials
Printable Materials Activity Card #1 Symptoms of High Blood Sugar or Pre-Diabetes Symptoms People often don t know they have high blood sugar or pre-diabetes. There are no symptoms and pre-diabetes can
MULTIPLE 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
Personal Health Assessment
Personal Health Assessment The purpose of this assessment is to determine your risk of developing the degenerative diseases common among Americans. Although diagnostic testing can sometimes be important,
Discrete Math in Computer Science Homework 7 Solutions (Max Points: 80)
Discrete Math in Computer Science Homework 7 Solutions (Max Points: 80) CS 30, Winter 2016 by Prasad Jayanti 1. (10 points) Here is the famous Monty Hall Puzzle. Suppose you are on a game show, and you
2. 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 two-person 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
Exam. Name. How many distinguishable permutations of letters are possible in the word? 1) CRITICS
Exam Name How many distinguishable permutations of letters are possible in the word? 1) CRITICS 2) GIGGLE An order of award presentations has been devised for seven people: Jeff, Karen, Lyle, Maria, Norm,
AP STATISTICS TEST #2 - REVIEW - Ch. 14 &15 Period:
AP STATISTICS Name TEST #2 - REVIEW - Ch. 14 &15 Period: 1) The city council has 6 men and 3 women. If we randomly choose two of them to co-chair a committee, what is the probability these chairpersons
Background (cont) World Health Organisation (WHO) and IDF predict that this number will increase to more than 1,3 million in the next 25 years.
Diabetes Overview Background What is diabetes Non-modifiable risk factors Modifiable risk factors Common symptoms of diabetes Early diagnosis and management of diabetes Non-medical management of diabetes
Remarks on the Concept of Probability
5. Probability A. Introduction B. Basic Concepts C. Permutations and Combinations D. Poisson Distribution E. Multinomial Distribution F. Hypergeometric Distribution G. Base Rates H. Exercises Probability
Probability. Sample space: all the possible outcomes of a probability experiment, i.e., the population of outcomes
Probability Basic Concepts: Probability experiment: process that leads to welldefined results, called outcomes Outcome: result of a single trial of a probability experiment (a datum) Sample space: all
Math 141. Lecture 2: More Probability! Albyn Jones 1. [email protected] www.people.reed.edu/ jones/courses/141. 1 Library 304. Albyn Jones Math 141
Math 141 Lecture 2: More Probability! Albyn Jones 1 1 Library 304 [email protected] www.people.reed.edu/ jones/courses/141 Outline Law of total probability Bayes Theorem the Multiplication Rule, again Recall
Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions.
Chapter 4 & 5 practice set. The actual exam is not multiple choice nor does it contain like questions. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Bayesian Updating with Discrete Priors Class 11, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom
1 Learning Goals Bayesian Updating with Discrete Priors Class 11, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom 1. Be able to apply Bayes theorem to compute probabilities. 2. Be able to identify
**Medicare and Medicaid have other Billing Codes and different eligibility. Please contact our office for more information. Thank you!
Checking Your Insurance Benefits IMPORTANT Please check your insurance coverage prior to any Nutrition or Diabetes Education appointment. You will be responsible for any services that are not covered.
My health action plan
My health action plan Contents What is a health action plan? 3 Section 1 Personal information 7 Section 2 People who help me 13 Section 3 Communication 17 Section 4 Medicine 23 Section 5 My general health
DIABETES CARE. Advice. Blood Pressure. Cholesterol. Diabetes control. Eyes. Feet. Guardian Drugs
DIABETES CARE What happens if you follow the Alphabet Strategy? As patients reach their targets, the chances of developing serious complications of diabetes will be reduced! 1 Stroke Eye disease Heart
Mind on Statistics. Chapter 15
Mind on Statistics Chapter 15 Section 15.1 1. A student survey was done to study the relationship between class standing (freshman, sophomore, junior, or senior) and major subject (English, Biology, French,
Health History and Review of Systems (Please check all that apply)
Health History and Review of Systems (Please check all that apply) Last Name: First Name: Date of Birth: / / q Male q Female Age: Marital Status: q Single q Married q Divorced q Separated q Widowed Who
Section 6.2 Definition of Probability
Section 6.2 Definition of Probability Probability is a measure of the likelihood that an event occurs. For example, if there is a 20% chance of rain tomorrow, that means that the probability that it will
Midha Medical Clinic REGISTRATION FORM
Midha Medical Clinic REGISTRATION FORM Today s / / (PLEASE PRINT NEATLY) PATIENT INFORMATION Last Name: First Name: Middle Initial: IS THIS YOUR LEGAL NAME? YES NO IF NOT, WHAT IS YOUR LEGAL NAME DATE
2.5 Conditional Probabilities and 2-Way Tables
2.5 Conditional Probabilities and 2-Way Tables Learning Objectives Understand how to calculate conditional probabilities Understand how to calculate probabilities using a contingency or 2-way table It
About Andropause (Testosterone Deficiency Syndrome)
About Andropause (Testosterone Deficiency Syndrome) There are many myths, misconceptions and a general lack of awareness about this easily treated hormonal imbalance that research shows affects 20% of
Combinatorics 3 poker hands and Some general probability
Combinatorics 3 poker hands and Some general probability Play cards 13 ranks Heart 4 Suits Spade Diamond Club Total: 4X13=52 cards You pick one card from a shuffled deck. What is the probability that it
THE UNIVERSITY OF DUBLIN TRINITY COLLEGE PENSION SCHEME CONSIDERATIONS WHEN TAKING A TAX-FREE LUMP SUM
THE UNIVERSITY OF DUBLIN TRINITY COLLEGE PENSION SCHEME CONSIDERATIONS WHEN TAKING A TAX-FREE LUMP SUM WHAT YOU SHOULD CONSIDER WHEN DECIDING TO EXCHANGE PENSION FOR A TAX-FREE LUMP SUM If you are close
a) Find the five point summary for the home runs of the National League teams. b) What is the mean number of home runs by the American League teams?
1. Phone surveys are sometimes used to rate TV shows. Such a survey records several variables listed below. Which ones of them are categorical and which are quantitative? - the number of people watching
Chapter 4. Probability and Probability Distributions
Chapter 4. robability and robability Distributions Importance of Knowing robability To know whether a sample is not identical to the population from which it was selected, it is necessary to assess the
Definition and Calculus of Probability
In experiments with multivariate outcome variable, knowledge of the value of one variable may help predict another. For now, the word prediction will mean update the probabilities of events regarding the
Depression. Definition: Respondents who were told by a doctor, nurse, or health professional that they had some form of depression.
DEPRESSION Definition: Respondents who were told by a doctor, nurse, or health professional that they had some form of depression. Prevalence of o South Dakota 15% o Nationwide median 18% Healthy People
The Skinny on Visceral Fat
The Skinny on Visceral Fat Fat stored deep in the belly is the most harmful kind. Find out how to cut it down to size. People can carry their extra weight in different places on the body: All over On the
ECE302 Spring 2006 HW1 Solutions January 16, 2006 1
ECE302 Spring 2006 HW1 Solutions January 16, 2006 1 Solutions to HW1 Note: These solutions were generated by R. D. Yates and D. J. Goodman, the authors of our textbook. I have added comments in italics
Selection and Preparation of Foods Management of the Food Budget*
Selection and Preparation of Foods Management of the Food Budget* Healthy meals on a limited budget! How can you serve healthy meals on a limited budget? It takes some time and planning, but you and your
Contemporary Mathematics Online Math 1030 Sample Exam I Chapters 12-14 No Time Limit No Scratch Paper Calculator Allowed: Scientific
Contemporary Mathematics Online Math 1030 Sample Exam I Chapters 12-14 No Time Limit No Scratch Paper Calculator Allowed: Scientific Name: The point value of each problem is in the left-hand margin. You
Math 3C Homework 3 Solutions
Math 3C Homework 3 s Ilhwan Jo and Akemi Kashiwada [email protected], [email protected] Assignment: Section 2.3 Problems 2, 7, 8, 9,, 3, 5, 8, 2, 22, 29, 3, 32 2. You draw three cards from a standard
Solutions to Homework 6 Statistics 302 Professor Larget
s to Homework 6 Statistics 302 Professor Larget Textbook Exercises 5.29 (Graded for Completeness) What Proportion Have College Degrees? According to the US Census Bureau, about 27.5% of US adults over
3. From among 8 students how many committees consisting of 3 students can be selected?
1. A college plans to interview 8 students for possible offer of graduate assistantships. The college has three assistantships available. How many groups of three can the college select? Answer: 28 2.
WORKED EXAMPLES 1 TOTAL PROBABILITY AND BAYES THEOREM
WORKED EXAMPLES 1 TOTAL PROBABILITY AND BAYES THEOREM EXAMPLE 1. A biased coin (with probability of obtaining a Head equal to p > 0) is tossed repeatedly and independently until the first head is observed.
Collecting data on equality and diversity: examples of diversity monitoring questions
Collecting data on equality and diversity: examples of diversity monitoring questions Subject Page Age 3 Disability 4-5 Race/Ethnicity 6-7 Gender or sex, and gender reassignment 8-9 Religion and belief
STA 371G: Statistics and Modeling
STA 371G: Statistics and Modeling Decision Making Under Uncertainty: Probability, Betting Odds and Bayes Theorem Mingyuan Zhou McCombs School of Business The University of Texas at Austin http://mingyuanzhou.github.io/sta371g
3.5% 3.0% 3.0% 2.4% Prevalence 2.0% 1.5% 1.0% 0.5% 0.0%
S What is Heart Failure? 1,2,3 Heart failure, sometimes called congestive heart failure, develops over many years and results when the heart muscle struggles to supply the required oxygen-rich blood to
AP * Statistics Review. Designing a Study
AP * Statistics Review Designing a Study Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production
Easy Read. How can we make sure everyone gets the right health care? How can we make NHS care better?
Easy Read How can we make NHS care better? How can we make sure everyone gets the right health care? What can we do to make the NHS good now and in the future? How can we afford to keep the NHS going?
Dr. Ronnie Pollard, DPM 1563 Gilpin Street Denver, CO 80218 303-388-0976 www.elevationfoot.com
1 Dr. Ronnie Pollard, DPM 1563 Gilpin Street Denver, CO 80218 303-388-0976 www.elevationfoot.com DEMOGRAPHICS & INSURANCE Patient Information Name: (First) (MI) (Last) SS#: DOB: Sex: Male Female Address:
LONG TERM CARE INSURANCE IS NOT FOR THE ELDERLY!
LONG TERM CARE INSURANCE IS NOT FOR THE ELDERLY! What s that you say? Long Term Care insurance (LTCi) is NOT for the elderly?! Did you know that over 45% of all claims for Long Term Care are for people
Topic breakdown grid FCSE unit 1 set A
FCSE unit 1 set A Relationships, family and friends Family Personal details about family Mini biography of family Clothes Relationships and reasons for good and bad relations within family and friends
Memorial Hospital Sleep Center. Rock Springs, Wyoming 82901. Sleep lab Phone: 307-352- 8229 (Mon - Wed 5:00 pm 7:00 am)
Memorial Hospital Sleep Center Rock Springs, Wyoming 82901 Sleep lab Phone: 307-352- 8229 (Mon - Wed 5:00 pm 7:00 am) Office Phone: 307-352- 8390 (Mon Fri 8:00 am 4:00 pm ) Patient Name: Sex Age Date Occupation:
Technical Information
Technical Information Trials The questions for Progress Test in English (PTE) were developed by English subject experts at the National Foundation for Educational Research. For each test level of the paper
How to Avoid Overpaying For Your:
How to Avoid Overpaying For Your: Mortgage Life Insurance and Mortgage Critical Illness Insurance By: Terry Bialek Congratulations! You ve just bought a new house or condominium and you ve arranged a mortgage
Determine the empirical probability that a person selected at random from the 1000 surveyed uses Mastercard.
Math 120 Practice Exam II Name You must show work for credit. 1) A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted. Outcome 2 4 5 6 7 8 9 10 11 12 Frequency 6 8 8 1 5
Lecture 1 Introduction Properties of Probability Methods of Enumeration Asrat Temesgen Stockholm University
Lecture 1 Introduction Properties of Probability Methods of Enumeration Asrat Temesgen Stockholm University 1 Chapter 1 Probability 1.1 Basic Concepts In the study of statistics, we consider experiments
Math 210. 1. Compute C(1000,2) (a) 499500. (b) 1000000. (c) 2. (d) 999000. (e) None of the above.
Math 210 1. Compute C(1000,2) (a) 499500. (b) 1000000. (c) 2. (d) 999000. 2. Suppose that 80% of students taking calculus have previously had a trigonometry course. Of those that did, 75% pass their calculus
Preliminary English Test
Preliminary English Test Placement Test Time allowed: 2 hours QUESTION PAPER DO NOT write on this paper Instructions: Please answer all questions DO NOT USE a dictionary Write all answers on the separate
WHAT DO YOU KNOW ABOUT CHEMICAL SUBSTANCES?
BY RICHARD ENSMAN READ ANY NEWSPAPER TODAY, OR WATCH THE TELEVISION NEWS, AND YOU CAN'T HELP BUT ENCOUNTER WORD OF THE EVER-DEEPENING PROBLEM OF DRUG AND ALCOHOL ABUSE. WHAT DO YOU KNOW ABOUT CHEMICAL
WOMEN AND RISK MADE SIMPLE
WOMEN AND RISK MADE SIMPLE Working with the profession to simplify the language of insurance UNDERSTANDING WOMEN AND RISK Risk is part of life. At home, at work, on the road, on holiday, you re at risk
Title: Affordable Low Rate Health Insurance. Word Count: 329
抮 抮 Title: Affordable Low Rate Health Insurance Word Count: 329 Summary: The easiest way to obtain affordable, low cost health insurance is to purchase a low cost health insurance plan through your employer.
CHAPTER 10 ANNUITIES
CHAPTER 10 ANNUITIES are contracts sold by life insurance companies that pay monthly, quarterly, semiannual, or annual income benefits for the life of a person (the annuitant), for the lives of two or
Basic Probability Theory II
RECAP Basic Probability heory II Dr. om Ilvento FREC 408 We said the approach to establishing probabilities for events is to Define the experiment List the sample points Assign probabilities to the sample
Using Family History to Improve Your Health Web Quest Abstract
Web Quest Abstract Students explore the Using Family History to Improve Your Health module on the Genetic Science Learning Center website to complete a web quest. Learning Objectives Chronic diseases such
Homework 3 Solution, due July 16
Homework 3 Solution, due July 16 Problems from old actuarial exams are marked by a star. Problem 1*. Upon arrival at a hospital emergency room, patients are categorized according to their condition as
Question: What is the probability that a five-card poker hand contains a flush, that is, five cards of the same suit?
ECS20 Discrete Mathematics Quarter: Spring 2007 Instructor: John Steinberger Assistant: Sophie Engle (prepared by Sophie Engle) Homework 8 Hints Due Wednesday June 6 th 2007 Section 6.1 #16 What is the
Retinal Consultants of San Antonio Diseases and Surgery of the Retina and Vitreous www.retinasanantonio. com
Retinal Consultants of San Antonio Diseases and Surgery of the Retina and Vitreous www.retinasanantonio. com 1 Calvin E. Mein, MD 9480 Huebner Rd, Suite 310 (210) 615-1311 Moises A. Chica, MD San Antonio,
Alcohol and drug abuse
Alcohol and drug abuse This chapter explores how alcohol abuse affects our families, relationships, and communities, as well as the health risks associated with drug and alcohol abuse. 1. Alcohol abuse