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The length of time waiting at cashiers 1 and 2 at a store are exponential random variables with parameters 1 = 1 and 2 =

The length of time waiting at cashiers 1 and 2 at a store are exponential random variables with parameters 1 = 1 and 2 = 2, respectively. You don't know which cashier is 1 and which is 2. You assume that the probability that you are in the line for cashier 1 is one half. Find the expected value and the variance of your waiting time.

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