5. During the month of May, the number of calls received by the ITS Service Desk at Carleton University follows a Poisson distribution with a mean of 5 calls per hour. To answer each of the following...

PLz answer the last two questions

Extracted text: 5. During the month of May, the number of calls received by the ITS Service Desk at Carleton University follows a Poisson distribution with a mean of 5 calls per hour. To answer each of the following questions, first define an appropriate random variable and identify its probability distribution and relevant parameter values. (a) What is the probability that more than two calls are received in a one-hour period? (b) What is the probability that exactly ten calls are received during a two-hour period? (c) If the ITS staff take a 30-minute break for lunch, what is the probability that they do not miss any calls? (d) Refer to part (c). What is the probability that the ITS staff do not miss any calls during lunch on at least three out five days?