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Telephone calls arrive at a doctor’s office according to a

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 2E Chapter 3.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 2E

Problem 2E

Telephone calls arrive at a doctor’s office according to a Poisson process on the average of two every 3 minutes. Let X denote the waiting time until the first call that arrives after 10 a.m.

(a) What is the pdf of X?

(b) Find P(X > 2).

Step-by-Step Solution:

Solution:

Step 1 of 3:

The telephone calls arrive at a doctor’s office at a doctor’s office according to a Poisson process on the average of two every 3 minutes. If X denote the waiting time until the first score arrives after 10a.m.we have to find

  1. Pdf of X
  2. P(X>2).

Step 2 of 3

Chapter 3.2, Problem 2E is Solved
Step 3 of 3

Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Telephone calls arrive at a doctor’s office according to a