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At a certain restaurant, a group's wait time to be seated after arrival is a random variable, , with [] = 20 minutes. Once seated,

At a certain restaurant, a group's wait time to be seated after arrival is a random variable, , with [] = 20 minutes. Once seated, the time for the waiter to reach the table and take their order is a random variable, , with [] = 5 minutes. Assume X and Y are independent.

Question: Find the expected value and the variance of the total wait time, = + , the time between arriving and ordering.

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