a. Explanation Given info: In the preceding month an author made no phone calls on 19 of the 30 days in the month. And a random sample of 10 days from that month is randomly selected with replacement. Calculation: Define the random variable x as the number of days the author made no phone call. Here, the number of randomly selected days ( n ) is 10 and each day of the month is independent of the other. Also, there are two possible outcomes (made a phone call and did not make a phone call). The probability of no phone call made is, P ( no phone calls made ) = 19 30 = 0.63 That is, the probability of no phone call made is 0.63. Thus, x follows binomial distribution. The binomial distribution formula is, P ( x ) = n ! ( n − x ) ! x ! p x q n − x Where, n is number of trials, x is number of successes among n trials, p is probability of success and q is probability of failure. Here, “no phone calls made on any of the 10 days” represents that x takes the value 0,1,2,3,4,5,6,7,8,9,10 b. To determine To find: The probability that author made no calls on exactly 4 days of the 10 randomly selected days. c. To determine To find: The probability that at least one phone call was made on each of the 10 randomly selected days.

5th Edition

ISBN: 9780321924599

Author: Mario F. Triola

Publisher: PEARSON

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Chapter 5, Problem 10RE

To determine

To find: The probability that author made no calls on any of the 10 randomly selected days.

To determine

To find: The probability that author made no calls on exactly 4 days of the 10 randomly selected days.

To determine

To find: The probability that at least one phone call was made on each of the 10 randomly selected days.

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