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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
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A doorman at a hotel is trying to get three taxicabs for three different couples. The

Chapter 5, Problem 5.4-19

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QUESTION:

A doorman at a hotel is trying to get three taxicabs for three different couples. The arrival of empty cabs has an exponential distribution with mean 2 minutes. Assuming independence, what is the probability that the doorman will get all three couples taken care of within 6 minutes?

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QUESTION:

A doorman at a hotel is trying to get three taxicabs for three different couples. The arrival of empty cabs has an exponential distribution with mean 2 minutes. Assuming independence, what is the probability that the doorman will get all three couples taken care of within 6 minutes?

ANSWER:

Problem 5.4.19

A doorman at a hotel is trying to get three taxicabs for three different couples. The arrival empty cab has an exponential distribution with mean 2 minutes. Assuming independence, what is the probability that the doorman will get all the three couples taken care of within 6 minutes?

                                                        Step by Step Solution

Step 1 of 3

The given data follows the Poisson distribution with mean 2 minutes for 1 cab

Hence there are 6 minutes for 3 cabs.

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