A mail order company receives telephone orders at a constant rate of three orders per hour. Assume that the number of telephone orders follows a Poisson distribution with parameter = 3.

(a) What is the probability that the number of telephone orders is more than one in one hour? (b) Let S be the total number of telephone orders in a 75-hour period. Assuming that the numbers of telephone orders in each hour are inde- pendent, what is the expectation and variance of S? (c) Use Chebyshev's inequality (see relation (2.116) in Hsu (2014, p. 86)) to give a lower bound of P(200 25)