please make answer neat & clearly typed answer is better

Consider an M/G/1/GD/c/co queuing system in which interarrival times are exponentially distributed with parameter and service times have a probability density function s(t). Let Xi be the number of customers present an instant after the ith customer completes service. a Explain why X1, X2,..., Xk, ... is a Markov chain. b Explain why Pij P(Xk1j|xki) is zero for j i1. c Explain why for iO, Pi,i1 (probability that no arrival occurs during a service time); Pii (probability that one arrival occurs during a service time); and forj i, Pij (probability thatji 1 arrivals occur dur- ing a service time)