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A study found that the mean amount of time cars spent in drive-throughs of a certain fast-de restaurant was 155.2 seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, complete parts (a) through (d) below. (a) What is the probability that a randomly selected car will get through the restaurant's drive-through in less than 121 seconds? The probability that a randomly selected car will get through the restaurant's drive-through in less than 121 seconds is (Round to four decimal places as needed.) (b) What is the probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through? The probability that a randomly selected car will spend more than 192 seconds in the restaurant's drive-through is (Round to four decimal places as needed.) (c) What proportion of cars spend between 2 and 3 minutes in the restaurant's drive-through? The proportion of cars that spend between 2 and 3 minutes in the restaurants drive-through is (Round to four decimal places as needed.) (d) Would it be unusual tor a car to spend more than 3 minutes in the restaurant's drivethrough? Why? The probability that a car spends more than 3 minutes in the restaurant's drive-through is , so it V be unusual, since the probability is V than 0.05. anImIl tn fmlr darimal nlame 2e nnndnrl \\ There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is approximately normally distributed with mean 21.4 and standard deviation 5.2. The composite score on Exam B is approximately normally distributed with mean 1033 and standard deviation 211. Suppose you scored 27 on Exam A and 1230 on Exam B. Which exam did you score better on? Justify your reasoning using the normal model. Choose the correct answer below. O A. The score on Exam B is better, because the score is higher than the score for Exam A. O B. The score on Exam B is better, because the percentile for the Exam B score is higher. O C. The score on Exam A is better, because the percentile for the Exam A score is higher. O D. The score on Exam A is better, because the difference between the score and the mean is lower than it is for Exam B.Assume that the heights of men are normally distributed with a mean of 68.3 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, nd the probability that they have a mean height greater than 69.8 inches. Round to tour decimal places. 0 A. 00021 O B. 0.9979 0 C. 0.0210 0 D. 0.9005 According to a study conducted in one city, 35% of adults in the city have credit card debts of more than $2000. A simple random sample of n = 350 adults is obtained from the city. Describe the sampling distribution of p, the sample proportion of adults who have credit card debts of more than $2000. Round o three decimal places when necessary. O A. Binomial; Hp = 122.5, op =8.923 O B. Exactly normal; up = 0.35, op = 0.025 O C. Approximately normal; up =0.35, op =0.001 O D. Approximately normal; Hp = 0.35, op = 0.025
