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Hits to a high-volume Web site are assumed to follow a

ISBN: 9781118539712 55

Solution for problem 105E Chapter 4.7

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition

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Problem 105E

Hits to a high-volume Web site are assumed to follow a Poisson distribution with a mean of 10,000 per day. Approximate each of the following:

(a) Probability of more than 20,000 hits in a day

(b) Probability of less than 9900 hits in a day

(c) Value such that the probability that the number of hits in a day exceeds the value is 0.01

(d) Expected number of days in a year (365 days) that exceed 10,200 hits.

(e) Probability that over a year (365 days), each of the more than 15 days has more than 10,200 hits.

Step-by-Step Solution:

Step 1 of 2:

Let X follows the Weibull distribution with the density

f(x, , ) =  (

We have, = 0.2, and = 100

The claim is to find the mean and variance.

Step 2 of 2

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Hits to a high-volume Web site are assumed to follow a

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