Please solve all parts ASAP! No need to do on matlab just solve on paper.

1. In M/M/1 queue at any time step at most one customer could arrive and one customer could leave. The value of the distribution index, p will affect the component values of the distribution vector, s where s= S, S, S2 S3 a. If the probability of arrival, a = 0.4 and probability of departure, c = 0.6 determine the component vectors of the distribution vector. b. Determine the average queue size. c. Sketch a graph of average queue size versus distribution index for M/M/1 if the probability of packet arrival is increase to 0.4, 0.5, 0.6. d. Sketch a graph of average queue size versus distribution index for (c) e. What are the chances of packet drop in M/M/1 queue? Explain your