5. Suppose that Joe is a grocery store clerk. The time X (in minutes) that Joe spends checking out a randomly selected customer has probability density function (pdf) 5x4 ·e-(x/3)5 243 5x1 f (x) 0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5.
Suppose that Joe is a grocery store clerk. The time X (in
minutes) that Joe spends checking out a randomly selected customer has
probability density function (pdf)
5x4
e-(x/3)5
243
(-)
5x1
f(x)
exp
0<x < ∞.
243
3.
What is the probability that Joe will spend at least 4 minutes checking
out his next customer?
Transcribed Image Text:5. Suppose that Joe is a grocery store clerk. The time X (in minutes) that Joe spends checking out a randomly selected customer has probability density function (pdf) 5x4 e-(x/3)5 243 (-) 5x1 f(x) exp 0<x < ∞. 243 3. What is the probability that Joe will spend at least 4 minutes checking out his next customer?
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