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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger
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The length of stay at a specific emergency department in a

Chapter 4, Problem 132E

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QUESTION:

Problem 132E

The length of stay at a specific emergency department in a hospital in Phoenix, Arizona had a mean of 4.6 hours. Assume that the length of stay is exponentially distributed.

(a) What is the standard deviation of the length of stay?

(b) What is the probability of a length of stay of more than 10 hours?

(c) What length of stay is exceeded by 25% of the visits?

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QUESTION:

Problem 132E

The length of stay at a specific emergency department in a hospital in Phoenix, Arizona had a mean of 4.6 hours. Assume that the length of stay is exponentially distributed.

(a) What is the standard deviation of the length of stay?

(b) What is the probability of a length of stay of more than 10 hours?

(c) What length of stay is exceeded by 25% of the visits?

ANSWER:

Solution:

Step 1 of 4:

Let X follows the Exponential distribution with density

f(x) =

 We have mean of 4.6 hours.

Then, cdf is F(x) = 1 -

                            = 1 -

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