2. Consdier the steady state diagram: Ocococo a) Write an equation that can be used to find the steady state probability Po, the probability of being in state 0 at equilibrium. b) If A = 1 and 4 = 5, compute the steady state probabilities Pe. where k 0,1,2,3 c) Suppose the states represent the number of customers at a barber shop for hair- cuts, with the average rate at which customers enter the shop each hour, and 1 the average number of hair-cuts given per hour. Compute the expected number of customers in the shop at equlibrium. d) In this model, there is one barber who works on one person at a time. Since p = 2 a hair-cut takes on average. From the time a new customer enters the barrber shop, what is the average wait time before the barber is able to begin cutting the customer's har? c) What percentage of time will the barber be busy cutting hair