Question: [10 pts] Let X be the total time from arrival to completion of service at a fast- food outlet and let Y be the time

[10 pts] Let X be the total time from arrival to completion of service at a fast- food outlet and let Y be the time spent waiting in line before arriving at the service window. Suppose the joint pdf of X and Y is ay) ={ Let U = X Y which represents the time spent at the service window. (a) Find the pdf of U using the distribution method. (b) Compute the average time spent at the service window, E[U]. eI ifcycecm 0 otherwise

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