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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
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The time (in hours) a manager takes to interview a job

Chapter 4, Problem 174SE

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QUESTION:

Problem 174SE

The time (in hours) a manager takes to interview a job applicant has an exponential distribution with β = 1/2. The applicants are scheduled at quarter-hour intervals, beginning at 8:00 A.M., and the applicants arrive exactly on time. When the applicant with an 8:15 A.M. appointment arrives at the manager’s office, what is the probability that he will have to wait before seeing the manager?

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QUESTION:

Problem 174SE

The time (in hours) a manager takes to interview a job applicant has an exponential distribution with β = 1/2. The applicants are scheduled at quarter-hour intervals, beginning at 8:00 A.M., and the applicants arrive exactly on time. When the applicant with an 8:15 A.M. appointment arrives at the manager’s office, what is the probability that he will have to wait before seeing the manager?

ANSWER:

Answer:

Step 1 of 1:

The time (in hours) a manager takes to interview a job applicant has an Exponential distribution

With  The applicants are scheduled at quarter-hour intervals, beginning at  and the applicants arrive exactly on time.

When the applicants with an  appointment arrives at the manager’s office, what is the probability that he will have to wait before seeing the manager?

Let  be the interview time (in hours) which follow an Exponential distribution With  

The second will have to wait only if the time to interview the first applicant exceeds  or

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