During the first 28 days of the new program, the manager determined that 4 % of customers were not satisfied with the results of their call. If the manager checks a random sample of 33 calls, what is the probability that 7 or fewer customers will be dissatisfied with the results of their call?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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During the first 28 days of the new program, the manager determined that 4 % of customers were not satisfied with the results of their call. If the manager checks a random sample of 33 calls, what is the probability that 7 or fewer customers will be dissatisfied with the results of their call?

 

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Step 1

Obtain the probability that 7 or fewer customers will be dissatisfied with the results of their call.

 

The probability that 7 or fewer customers will be dissatisfied with the results of their call is obtained below as follows:

 

Let X denotes the number of customers will be dissatisfied with the results of their call which follows binomial distribution with the probability of success 0.04 and the random sample of 33 customers has been selected.

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