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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4 - Problem 20se
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 4 - Problem 20se

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# Someone claims that the number of hits on his website has ISBN: 9780073401331 38

## Solution for problem 20SE Chapter 4

Statistics for Engineers and Scientists | 4th Edition

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Problem 20SE

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:  Text transcription:

P(X \leq 95)

P(X \leq 65)

Step-by-Step Solution:

Solution

Step 1 of 7

Here we have to find the poisson probabilities for the given conditions

Let X be the no. of hits in five hours

No. of  hits per hour =20

No. of hits per 5 hours=20(5)=100

Here X Poisson (100)

So =100

The value is very large the distribution is converted to normal distribution

So X N(100,100)

Here mean =100

Standard deviation = =10

Step 2 of 7

Step 3 of 7

##### ISBN: 9780073401331

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