Hits to a high-volume Web site are assumed to follow a Poisson distribution with a mean of 10,000...

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) Approximate the expected number of days in a year (365 days) that exceed 10,200 hits.

(b) Approximate the probability that over a year (365 days) more than 15 days each have more than 10,200 hits.