Question: Consider an M/G/1 queueing system where service is rendered in the following manner. Before a customer is served, a biased coin whose probability of heads

Consider an M/G/1 queueing system where service is rendered in the following manner. Before a customer is served, a biased coin whose probability of heads is p is flipped. If it comes up heads, the service time is exponentially distributed with mean 1/μ1. If it comes up tails, the service time is constant at

d. Calculate the following:

a. The mean service time, E[X]

b. The coefficient of variation, CX, of the service time 152 Markov Processes for Stochastic Modeling

c. The expected waiting time, E[W]

d. The s-transform of the PDF of W

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