Question: need help with problem below Consider a queuing system with a single server, M /M / 1. Arrival times are independent exponentially distributed variables with

need help with problem below

Consider a queuing system with a single server, M /M / 1. Arrival times are independent exponentially distributed variables with expectation A'1 = 10 minutes. Service times are also independent exponentially distributed with expectation \"'1 = 7.5 minutes. 1. Derive stationary distribution of the number X (t) service requests in a system, 7rm = P [X(t) = m] for any integer m 2 0 2. Evaluate expected number E [(15)] of customers in the system under stationary distribution 3. Determine the average waiting time, W 4. Find expected idle time, E [I] and expected busy time, E [B], using formula: Ell] E[I]+E[B] =7\")

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