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What is the probability of finding next free taxi

Problem:

The times between the arrivals of taxis at a rank are independent and identically exponentially distributed with parameter Assume that an arriving cus- λ = 4 [h-1]. tomer does not find an available taxi, the previous one left 3 minutes ago, and no other customers are waiting.

What is the probability that the customer has to wait at least 5 minutes for the next free taxi?

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