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 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.