Consider an M/M/1 queue as represented in Figure 7.4. Assume throughout that X 0 = i where i > 0. The purpose of this exercise is to understand the relationship between the holding interval until the...

Consider an M/M/1 queue as represented in Figure 7.4. Assume throughout that X₀
= i where i > 0. The purpose of this exercise is to understand the relationship between the holding interval until the next state transition and the interval until the next arrival to the M/M/1 queue. Your explanations in the following parts can and should be very brief.