(a) Suppose the number N of car accidents in a city in a day is Poisson (300). The amount of time, in hours, spent by city police on each accident is exponential(2). The times are independent. What is the expected number of police hours spent on accidents per day? (b) For the demand random variable D = XN, suppose N is uniform on the integers 0,1,2 and each Y has a distribution 0.1, 0.2, 0.3, 0.2, 0.2 on 0,1,2,3,4. Determine the generating function GD and form this determine the distribution for D. (c) One car in twenty on a certain highway is a Mercedes. If the number of cars passing a given point in an hour is Poisson (60), what is the probability that 5 or more will be a Mercedes. (d) Suppose is a given country, the wealth X of an individual (in thousands) has a Pareto distribution with parameter = 1.2 where the Pareto densty function is of the form Ө p(2) T≥0. (1+x)0+1 (d) Suppose is a given country, the wealth X of an individual (in thousands) has a Pareto distribution with parameter - 1.2 where the Pareto densty function is of the form Ө P(x) T≥0. (1+2)+1