Question: Alice and Bob simultaneously enter a barber shop with two servers. Alice is going to get a haircut and Bob is going to get a

Alice and Bob simultaneously enter a barber shop with two servers. Alice is going to get a haircut and Bob is going to get a shave. The amount of time it takes to receive a haircut (shave) is exponentially distributed with mean () minutes. Alice and Bob are served immediately. The amount of time it takes to receive a haircut is independent from the amount of time it takes to receive a shave.

What is the expected time for the first of the two to be finished?

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