Consider a taxi station at an airport where taxis and (groups of) customers arrive at times of

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Consider a taxi station at an airport where taxis and (groups of) customers arrive at times of Poisson processes with rates 2 and 3 perminute. Suppose that a taxi will wait no matter how many other taxis are present. However, if an arriving person does not find a taxi waiting he leaves to find alternative transportation.

(a) Find the proportion of arriving customers that get taxis.

(b) Find the average number of taxis waiting.


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