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

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

Find the probability that a group will spend more time waiting for the waiter to take their order than to be seated.

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