they are attached

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they are attached

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© 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 1 / 1 2 Test 4 Chapter 10.4 – 10.8 #3 Class Name : Math 120 Fall 2020 -Virtual – Math 120-V22 CRN 13787, Williams, D. Instructor Name : Williams Student Name : _____________________ Instructor Note : Question 1 of 14 A class is choosing a president, a vice president, and a treasurer. There are two students running for president: Maria and Linda. There are two students running for vice president: Bob and John. There are three students running for treasurer: Debra, Amanda, and Jessica. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. (a) How many outcomes are there? (b) How many outcomes have Amanda or Jessica being chosen? (c) How many outcomes have both Linda and Bob being chosen? Question 2 of 14 President Maria Linda Vice President Bob John Bob John Treasurer Debra Amanda Jessica Debra Amanda Jessica Debra Amanda Jessica Debra Amanda Jessica Outcome , Maria , Bob Debra , Maria , Bob Amanda , Maria , Bob Jessica , Maria , John Debra , Maria , John Amanda , Maria , John Jessica , Linda , Bob Debra , Linda , Bob Amanda , Linda , Bob Jessica , Linda , John Debra , Linda , John Amanda , Linda , John Jessica © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 2 / 1 2 A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). The outcomes are listed in the table below. Note that each outcome has the same probability. For each of the three events in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Question 3 of 14 There are acts in a talent show. An acrobat, a comedian, a dancer, a juggler, a magician, a pianist, a singer, and a whistler. A talent show host randomly schedules the acts. Compute the probability of each of the following events. Event A: The juggler is first, the acrobat is second, the singer is third, and the pianist is fourth. Event B: The first four acts are the comedian, the acrobat, the dancer, and the whistler, in any order. Write your answers as fractions in simplest form. Question 4 of 14 8 Outcomes Probability EEO EOE EOO OOO EEE OEE OOE OEO Event A: No even numbers on the first two rolls Event B: Alternating even number and odd number (with either coming first) Event C: More even numbers than odd numbers 8 8 = P A = P B © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 3 / 1 2 In Debra’s bucket there are brown worms and red worms. Debra is going to choose worms at random from the bucket to use for fishing. What is the probability that she will choose brown worms and red worms? Round your answer to three decimal places. Question 5 of 14 Chris is at the grand opening celebration of a supermarket. He spins a wheel with equal-sized slices, as shown below. The wheel has black slices, grey slice, and white slice. When the wheel is spun, the arrow stops on a slice at random. If the arrow stops on the border of two slices, the wheel is spun again. (a) If the arrow stops on a grey slice, then Chris wins a gift card. Find the odds against Chris winning a gift card. ________ (b) If the arrow stops on a grey slice, then Chris wins a gift card. Find the odds in favor of Chris winning a gift card. ________ Question 6 of 14 9 6 1 1 7 4 10 8 1 1 © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 4 / 1 2 Alonzo is in charge of planning a reception for people. He is trying to decide which snacks to buy. He has asked a random sample of people who are coming to the reception what their favorite snack is. Here are the results. Favorite Snack Number of People Brownies Cookies Chips Other Based on the above sample, predict the number of the people at the reception whose favorite snack will be brownies. Round your answer to the nearest whole number. Do not round any intermediate calculations. Question 7 of 14 Chang is playing a game in which he spins a spinner with equal-sized slices numbered through . The spinner stops on a numbered slice at random. This game is this: Chang spins the spinner once. He wins if the spinner stops on the number , if the spinner stops on the number , if the spinner stops on the number , and if the spinner stops on the number . He loses if the spinner stops on or . (a) Find the expected value of playing the game. ___ dollars (b) What can Chang expect in the long run, after playing the game many times? Chang can expect to gain money. He can expect to win ___ dollars per spin. Chang can expect to lose money. He can expect to lose ___ dollars per spin. Chang can expect to break even (neither gain nor lose money). Question 8 of 14 3600 33 79 48 60 6 1 6 $1 1 $3 2 $5 3 $7 4 $1.25 5 6 © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 5 / 1 2 Eight balls numbered to are placed in a bag. Some of the balls are grey and some are white. The balls numbered , , , and are grey. The balls numbered , , , and are white. A ball will be selected from the bag at random. The possible outcomes are listed below. Note that each outcome has the same probability. Complete parts (a) through (c). Write the probabilities as fractions. (a) Check the outcomes for each event below. Then, enter the probability of the event. Outcomes Probability 1 2 3 4 5 6 7 8 Event A: The selected ball is white Event B: The selected ball has an even number on it Event A or B: The selected ball is white or has an even number on it Event A and B: The selected ball is white and has an even number on it (b) Compute the following. (c) Select the answer that makes the equation true. – – – – Question 9 of 14 1 8 1 2 5 7 3 4 6 8 8 = + P A − P B P A and B = + P A − P B P A and B P B P A or B P A P A and B 1 2 3 4 5 6 7 8 © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 6 / 1 2 A number cube with faces labeled to is rolled once. The number rolled will be recorded as the outcome. Consider the following events. Event : The number rolled is less than . Event : The number rolled is even. Give the outcomes for each of the following events. If there is more than one element in the set, separate them with commas. (a) Event ” and “: (b) Event ” or “: (c) The complement of the event : Question 10 of 14 An internet research company surveyed online shoppers, each of whom made one purchase today. The company recorded the type of purchase each shopper made. Here is a summary. Type of purchase Number of shoppers Food Clothing Beauty supplies Electronics Three shoppers from the survey are selected at random, one at a time without replacement. What is the probability that none of the three shoppers purchased food? Do not round your intermediate computations. Round your final answer to three decimal places. Question 11 of 14 A survey showed that of college students read internet news on a regular basis and that of college students regularly watch the news on TV. The survey also showed that of college students both follow TV news regularly and read internet news regularly. 1 6 A 5 B A B A B B 95 18 25 40 12 23 % 82 % 20 % (a) What is the probability that a randomly selected college student reads internet news regularly, given that he or she watches TV news regularly? Round your answer to the nearest hundredth. (b) What is the probability that a student watches TV news regularly, given that he or she regularly reads internet news? Round your answer to the nearest hundredth. © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 7 / 1 2 Question 12 of 14 A spinner has equally sized slices numbered from to . Some are grey and some are white, as shown below. Answer the following questions. Write each answer as a fraction. The wheel will be spun and will stop on a slice at random. (a) What is the probability that the wheel stops on a white slice? (b) What is the probability that the wheel stops on a white slice, given that the wheel stops on a number less than ? Question 13 of 14 Dr. Morgan is a veterinarian who sees only dogs and cats. In each appointment, she may or may not give the animal a vaccine. The two-way frequency table summarizes Dr. Morgan’s appointments last week. Vaccine No vaccine Dog Cat Let cat be the event that a randomly chosen appointment (from the table) involved a cat. Let no vaccine be the event that a randomly chosen appointment (from the table) did not include a vaccine. Find the following probabilities. Write your answers as decimals. (a) P(cat) _____ (b) P(no vaccine and cat) _____ (c) P(no vaccine | cat) _____ 8 1 8 7 60 8 22 18 12 = = = © 2 020 M cG ra w -H ill E duca tio n. A ll R ig hts R ese rv e d. Te st 4 C hapte r 1 0.4 – 1 0.8 # 3 P age 8 / 1 2 Question 14 of 14 Let and be two events. Suppose that and . (a) Find , given that and are mutually exclusive. (b) Find , given that and are independent. A B = P A 0.06 = P B 0.29 P A orB A B P A orB A B

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