2) Your dorm has a small adjacent parking lot with 3 parking spaces for residents to use for loading and unloading purpo
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2) Your dorm has a small adjacent parking lot with 3 parking spaces for residents to use for loading and unloading purpo
2) Your dorm has a small adjacent parking lot with 3 parking spaces for residents to use for loading and unloading purposes. During a typical Saturday, cars enter the lot and use up one of the spaces at a rate of 2 cars per hour. By watching the lot regularly on Saturdays, you have determined that, for n = 0, 1, 2, 3, the probability Pn that exactly n spaces are currently being used is given by the following: P = 0.2, P₁ = 0.3, P₂ 0.3, P3 = 0.2. = (a) Find the queueing parameters L, Lq, W and W₁ associated with this system. (b) Use the results from (a) to find the average amount of time that a car stays in a parking space.
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