need help with problem below :

Problem 2: 20 points (= 4 + 4 + 4 + 4 + 4) Consider a queuing system M / M / 1 with one server. Assume that it is functioning under the steady state distribution. Customer arrivals form a Poisson process with the rate 1 = 5 per hour. Service times are exponentially distributed with the average of u = 10 minutes. 1. Find the steady state distribution of the number of customers in the system, Am = lim P [X(t) = m], for m = 0, 1, ..., . 2. Determine the expected waiting time (W) in minutes and queue length (L) for this process. 3. Derive the expected idle time period, E [/] in minutes. 4. Find the expected busy time in minutes, E [B] using the formula: E[ E [/] + E [B] = TO. 5. Consider the departure process defined as the number (D (t) ) of customers that have their services completed by the time t. Find the expected value, E [D(3)] of the departures within first three hours