A short-term insurance company receives seven motor vehicle claims, on average, per day. Assume that the daily claims rate follows a Poisson process. Calculate all the probabilities using the Poisson formula a) What is the probability that on a given day no more than five motor vehicle claims will be received? [5] b) How likely is it that either six or nine motor vehicle claims will be received on a given day? [5] c) What is the chance that more than 20 motor vehicle claims will be received by the company over any two-day period? [3]