A call center receives an average of 10 calls per hour. Assume that the number of calls received follows a Poisson distribution.
(a) What is the probability that exactly 8 calls will be received in the next hour?
(b) What is the probability that more than 7 calls will be received in the next hour?
(c) What is the expected number of calls to be received in the next hour? What is the standard deviation?