Question: please do not copy from other solutions because those are all wrong. Problem 5. There are two tennis courts. Pairs of players arrive at rate

please do not copy from other solutions because those are all wrong.

Problem 5. There are two tennis courts. Pairs of players arrive at rate 3 per hour and play for an exponen- tially distributed amount of time with mean one hour. If there are already two pairs of players waiting, new arrivals will leave. (a) Find the stationary distribution for the number of course occupied. (b) Find the rate, at which customers enter the system. (c) Find the expected amount of time a pair has to wait before they can begin playing. Problem 5. There are two tennis courts. Pairs of players arrive at rate 3 per hour and play for an exponen- tially distributed amount of time with mean one hour. If there are already two pairs of players waiting, new arrivals will leave. (a) Find the stationary distribution for the number of course occupied. (b) Find the rate, at which customers enter the system. (c) Find the expected amount of time a pair has to wait before they can begin playing

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