People arrive at the Southpoint Mall at times of a Poisson process with rate 96 per hour. 1/3 of the shoppers are men and 2/3 are women. (a) Women shop for an amount of time that is exponentially distributed with mean 3 hours Men shop for a time that is uniformly distributed on [0, 1] hour. Let (Mt, Wi) be the number of men and women at time t. What is the equilibrium distribution for (Mt, W) (b) Women spend an average of $150 with a standard deviation of $80. Find the mean and variance of the amount of money spent by women who arrived between 9AM and 10AM.