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Assume that each of your calls to a popular radio station

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 125E Chapter 3.7

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 125E

Problem 125E

Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is, of not obtaining a busy signal. Assume that your calls are independent.

(a) What is the probability that your first call that connects is your 10th call?

(b) What is the probability that it requires more than five calls for you to connect?

(c) What is the mean number of calls needed to connect?

Step-by-Step Solution:

Solution

Step 1 of 4

The calls to a popular radio station has a probability of 0.02

Let X be a no.of calls needed to connect radio station

Here X is following geometric distribution

The pmf of geometric distribution is


Step 2 of 4

Chapter 3.7, Problem 125E is Solved
Step 3 of 4

Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

The full step-by-step solution to problem: 125E from chapter: 3.7 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. The answer to “Assume that each of your calls to a popular radio station has a probability of 0.02 of connecting, that is, of not obtaining a busy signal. Assume that your calls are independent.(a) What is the probability that your first call that connects is your 10th call?(b) What is the probability that it requires more than five calls for you to connect?(c) What is the mean number of calls needed to connect?” is broken down into a number of easy to follow steps, and 71 words. This full solution covers the following key subjects: calls, Probability, Call, assume, connect. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. Since the solution to 125E from 3.7 chapter was answered, more than 832 students have viewed the full step-by-step answer.

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Assume that each of your calls to a popular radio station