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Customers at Two Creek Coffee House spend an average of 3 minutes waiting in line to place their order and an average of 5

 

Customers at Two Creek Coffee House spend an average of 3 minutes waiting in line to place their order and an average of 5 minutes waiting while their drinks are being made. Assume that both wait times are erponentially distributed: if the average wait time is A, then the wait time has probability density function fx(t) = e- for t 2 0. Assume also the wait times are independent of each other. Sketch the joint probability density function for the combined wait time. What is the probability that a customer %3D waits more than 10 minutes total?

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