5.1. Suppose three service stations are arranged in tandem so that the departures from one form the arrivals for the next. The arrivals to the first station are a Poisson process of rate A = 10 per hour. Each station has a single server, and the three service rates are μ, = 12 per hour, p, = 20 per hour, and p, = 15 per hour. In-process storage is being planned for station 3. What capacity C3 must be provided if in the long run, the probability of exceeding C3 is to be less than or equal to 1 percent? That is, what is the smallest number C3 = c for which lim,, Pr{X3(t) > c} : 0.01?