Question: In a subway station, there are exactly enough customers on the platform to fill three trains. The arrival time of the nth train is X1+

In a subway station, there are exactly enough customers on the platform to fill three trains. The arrival time of the nth train is X1+ ∙ ∙ ∙ + Xn where X1, X2 . . . are iid exponential random variables with E[Xi] = 2 minutes. Let W equal the time required to serve the waiting customers.
Find P[W > 20].

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