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Suppose that the percentage of American drivers who are
Chapter 2, Problem 9E(choose chapter or problem)
Problem 9E
Suppose that the percentage of American drivers who are multitaskers (e.g., talk on cell phones, eat a snack, or text message at the same time they are driving) is approximately 80%. In a random sample of n = 20 drivers, let X equal the number of multitaskers.
(a) How is X distributed?
(b) Give the values of the mean, variance, and standard deviation of X.
(c) Find the following probabilities: (i) P(X = 15),
(ii) P(X > 15), and (iii) P(X ≤ 15).
Questions & Answers
QUESTION:
Problem 9E
Suppose that the percentage of American drivers who are multitaskers (e.g., talk on cell phones, eat a snack, or text message at the same time they are driving) is approximately 80%. In a random sample of n = 20 drivers, let X equal the number of multitaskers.
(a) How is X distributed?
(b) Give the values of the mean, variance, and standard deviation of X.
(c) Find the following probabilities: (i) P(X = 15),
(ii) P(X > 15), and (iii) P(X ≤ 15).
ANSWER:
Solution :
Step 1 of 3:
The percentage of american drivers who are multitaskers is approximately 80%. If a random sample of n=20 multitaskers are taken, and X denote the number of multitaskers. We have to find
(a) distribution of X
(b) mean, variance, standard deviation
(c) The probabilities (i) P(X = 15),
(ii) P(X > 15), and (iii) P(X ≤ 15).