Consider a taxi station at an airport where taxis and (groups of) customers arrive at times of Poisson processes with rates 3 and 4 per minute.

Consider a taxi station at an airport where taxis and (groups of) customers arrive at times of Poisson processes with rates 3 and 4 per minute. 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. Find the long-run fraction of customers that get taxis.