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The length of stay at a specific emergency department in a
Chapter 4, Problem 132E(choose chapter or problem)
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?
Questions & Answers
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 -