MINDTAP ASSIGNMENT CHAPTER 4 ASSIGNMENT BANA QUESTIONS AND ANSWERS.

An experiment has three steps with three outcomes possible for the first step, two outcomes possible for the second step, and four outcomes possible for the third step. How many experimental outcomes exist for the entire experiment? 24 How many ways can three items be selected from a group of eight items? 56 How many permutations of three items can be selected from a group of six? 120 An experiment with three outcomes has been repeated 40 times, and it was learned that E1 occurred 20 times, E2 occurred 13 times, and E3 occurred 7 times. Assign probabilities to the following outcomes for E1 , E2 and E3 . Round your answer to two decimal places. P(E1) = .5 P(E1) = .33 P(E1) = .18 Method: Relative Frequency Method Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 70 bank accounts, we want to take a random sample of four accounts in order to learn about the population. How many different random samples of four accounts are possible? 916895 A company that manufactures toothpaste is studying five different package designs. a. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs (to 2 decimals)? b. In an actual experiment, 100 consumers were asked to pick the design they preferred. The following data were obtained. Number of Design Times Preferred 1 5 2 15 3 30 4 40 5 10 Do the data confirm the belief that one design is just as likely to be selected as another? c. Based on the actual experiment, what probability would you assign to each package design (to 2 decimals)? d. Which package design has the highest probability of selection by a customer? a. .2 b. No, the data dos not confirm this belief c. 1) .05 2) .15 3) .3 4) .4 5) .1 d. Design 4 Consider the experiment of selecting a playing card from a deck of 52 playing cards. Each card corresponds to a sample point with a 1/52 probability. a.How many sample points are there in the event that a jack is selected? b.How many sample points are there in the event that a diamond is selected? c.How many sample points are there in the event that a non face card (non jack, non queen, or non king) is selected? d.Find the probabilities associated with each of the events in parts (a), (b), and (c) (to 2 decimals). a. 4 b. 13 c. 40 d. (c) .08 (b) .25 (a) .77 Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this question (CBS News website, December, 2014). Consider the responses by age groups shown below. Age Response 18-29 30+ Yes 134 293 No 131 432 Unsure 2 8 a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime (to 4 decimals)? b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime (to 4 decimals)? c. For a randomly selected respondent, what is the probability that a respondent answers yes (to 3 decimals)? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming? The input in the box below will not be graded, but may be reviewed and considered by your instructor. a. .4906 b. .5894 c. .427 d. there is a 9.88% difference between the two. 267 18-29 year olds were asked and 733 30+ year olds were asked. which means that only 27% of the data pertains to the young adults. If they asked the same question to the same amount of people in either category... .4906 of the 18-29 people swing to no. .5894 of the 30+ people would swing no. there is a 9.88% difference between the two which is not a lot. The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012). Based on the survey results, there is a .39 probability that a randomly selected person will feel guilty about wasting food and a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room (to 2 decimals)? b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)? A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reasons, 54% rented a car during the past 12 months for personal reasons, and 30% rented a car during the past 12 months for both business and personal reasons. Round your answers to three decimal places. a. What is the probability that a subscriber rented a car during the past 12 months for business or personal reasons? b. What is the probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons? a. .698 b. .302