The number of requests for assistance received by a towing service is a Poisson process with rate=10per hour.

(a)

Compute the probability that exactlyfifteenrequests are received during a particular2-hour period.(Round your answer to three decimal places.)

(b)

If the operators of the towing service take a 30 min break for lunch, what is the probability that they do not miss any calls for assistance? (Round your answer to three decimal places.)

(c)

How many calls would you expect during their break?

You may need to use the appropriate table in theAppendix of Tablesto answer this question.