Problem 3: Suppose that the number of trac accidents in a city follows a Poisson distribution with rate A = 5 per day. (a) What is the expected number of accidents in a given week? The vari ance? (b) What is the probability of more than 40 accidents in a given week? (c) What is the probability that the waiting time for the next accident is less than 4 hours? (d) What is the expected waiting time (in hours) for the fourth accident