Assn , 8.5. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Assn , 8.5 Name List the outcomes of the sample space. ) There are 3 balls in a hat; one with the number on it, one with the number 6 on it, and one with the number 8 on it. You pick a ball from the hat at random and then you flip a coin. Using a tree diagram, obtain the sample space for the experiment. List the elements that make up the sample space. A) H T, 6 H T, 8 H T B) 6 8 H, 6 8 T C) H, T, 6 H, 6 T, 8 H, 8 T D) H, 6 H, 8 H ) 2) A fair die and a fair coin are tossed in succession. Find the sample space composed of equally likely events. 2) 3) Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 5 possible answers. A) 3 5 B) 5 3 C) 243 D) 25 3) 4) A bag contains 9 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of choosing a blue marble? 4) A) P(B) = 8 B) P(B) = 2 C) P(B) = 5 6 D) P(B) = 9 6 List the outcomes of the sample space. 5) A box contains 0 blue cards numbered through 0. List the sample space of picking one card from the box. A) {0} B) {8} C) {, 2, 3, 4, 5, 6, 7, 8, 9, 0} D) {00} 5) 6) A lottery game contains 28 balls numbered through 28. What is the probability of choosing a ball numbered 28, P(28)? 6) A) P(28) = 28 B) P(28) = 0 C) P(28) = D) P(28) = 28 7) A sample space consists of 97 separate events that are equally likely. What is the probability of each? A) 97 B) 0 C) D) 97 7)

2 8) A packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms. What is the probability that Dylan will not choose a green apple sour worm, P(not green apple)? 8) A) P(not green apple) = 4 5 B) P(not green apple) = 0 C) P(not green apple) = 3 5 D) P(not green apple) = 4 5 Find the indicated probability. 9) In a homicide case 8 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 8 witnesses would pick the same person. A) B) C).6 D) ) In a family with family with 4 children, excluding multiple births, what is the probability of having 2 girls and 2 boys, in that order? Assume that a boy is as likely as a girl at each birth. A) B) C) D) ) 0) Solve the problem. ) At the Stop 'n Go tune-up and brake shop, the manager has found that an SUV will require a tune-up with a probability of 0.6, a brake job with a probability of 0. and both with a probability of What is the probability that an SUV requires neither type of repair? A) 0.58 B) 0.68 C) 0.32 D) 0.7 ) In a suvey of the number of DVDs in a house, the table shows the probabilities. Number of DVDs or more Probability ) Find the probability of a house having fewer than 2 DVDs. 2) A) 0.7 B) 0.38 C) 0.29 D) 0.57 Find the odds. 3) If the sectors are of equal size, what are the odds of spinning an A on this spinner? 3) A) 4:2 B) 3:5 C) 6:2 D) 2:6 4) A single fair die is rolled. The number on the die is a 3 or a 6. 4) A) B) C) D)

3 5) The table below describes the smoking habits of a group of asthma sufferers. 5) Nonsmoker Occasional smoker Regular smoker Heavy smoker Total Men Women Total If one of the 24 people is randomly selected, find the probability that the person is a man or a heavy smoker. A) 0.52 B) 0.5 C) 0.47 D) Estimate the indicated probability. 6) College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results. 6) toppings freshman sophomore junior senior cheese meat veggie A randomly selected student who is a a junior or senior is also prefers veggie. Round the answer to the nearest hundredth. A).45 B).42 C).709 D).236 7) Samantha is taking courses in math and English. The probability of passing math is estimated at 0.4 and English at 0.6. She also estimates that the probability of passing at least one of them is 0.8. What is her probability of passing both courses? A) 0.2 B) 0 C) 0.2 D) 0.8 7) Solve the problem. 8) From a survey involving 2,000 students at a large university, it was found that,300 students had classes on Monday, Wednesday, and Friday;,500 students had classes on Tuesday and Thursday; and 800 students had classes every day. If a student at this university is selected at random, what is the (empirical) probability that the student has classes only on Tuesday and Thursday? 8) 9) Of the coffee makers sold in an appliance store, 4.0% have either a faulty switch or a defective cord, 2.5% have a faulty switch, and 0.% have both defects. What is the probability that a coffee maker will have a defective cord? Express the answer as a percentage. A) 4.0% B) 4.% C) 2.6% D).6% 9) 3

4 In a suvey of the number of DVDs in a house, the table shows the probabilities. Number of DVDs or more Probability ) Find the probability of a house having or 2 DVDs. 20) A) 0.83 B) 0.95 C) 0.57 D) ) If 8% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place? A).0 B).53 C).66 D).8 2) 22) A box contains 7 red balls and 3 white balls. Two balls are to be drawn in succession without replacement. What is the probability that the sample will contain exactly one white ball and one red ball? 22) 23) Refer to the table below for events in a sample space, S, compute P(C E). 23) A B C Total D E Totals Use a tree diagram to find the indicated probability. 24) In the town of Cheraw, a certain type of laptop computer is sold at just two stores. Store A has 38% of the sales, 4% of which are of defective items, and store B has 62% of the sales, 2% of which are of defective items. A person receives one of these laptop computers as a gift. What is the probability it is defective? A) B) 0.03 C) 0.42 D) ) The graduates at a southern university are shown in the table. Art & Science A Education E Business B Total Male, M Female, F Total A student is selected at random from the graduating class. 25) Find the probability that the student is female, given that an education degree is not received, P(F E'). A) P(F E') = B) P(F E') = C) P(F E') = D) P(F E') = ) 4

5 Provide an appropriate response. 26) The number of loaves of whole wheat bread left on the shelf of a local quick stop at closing (denoted by the random variable X) varies from day to day. Past records show that the probability distribution of X is as shown in the following table. Find the probability that there will be at least three loaves left over at the end of any given day. 26) xi pi A) 0.5 B) 0.35 C) 0.20 D) 0.65 Find the expected value. 27) Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning? A) $300,000 B) $28,400 C) $360,000 D) $60,000 28) A car agency has found daily demand to be as shown in the table. Number of customers Probability ) 28) Find the expected number of customers. A) 2 B) 0 C) 9 D) 2 29) Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. An insurance company is willing to insure the concert for $50,000 against rain for a premium of $30,000. If he buys this policy, what are his expected earnings from the concert? A) $80,000 B) $300,000 C) $239,400 D) $270,000 29) Provide an appropriate response. 30) The probability distribution for the random variable X is: xi pi What is the expected value of X? A) 0.62 B) 0.26 C) 0.22 D) ) 5