Someone claims that the number of hits on his website has a Poisson distribution with

Chapter 4, Problem 20

(choose chapter or problem)

Someone claims that the number of hits on his website has a Poisson distribution with mean 20 per hour. Let X be the number of hits in five hours.

a. If the claim is true, what is $P(X \leq 95)$?

b. Based on the answer to part (a), if the claim is true, is 95 hits in a five-hour time period an unusually small number?

c. If you observed 95 hits in a five-hour time period, would this be convincing evidence that the claim is false? Explain.

d. If the claim is true, what is $P(X \leq 65)$?

e. Based on the answer to part (d), if the claim is true, is 65 hits in a five-hour time period an unusually small number?

f. If you observed 65 hits in a five-hour time period, would this be convincing evidence that the claim

is false? Explain.

Equation Transcription:

$P(X\leq{}95)$

$P(X\leq{}65)$

Text Transcription:

P(X \leq 95)

P(X \leq 65)

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