*24. Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective...

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*24. Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and two per minute. A taxi will wait no matter how many other taxis are present.

However, if an arriving customer does not find a taxi waiting, he leaves.

Find

(a) the average number of taxis waiting, and

(b) the proportion of arriving customers that get taxis.

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