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Question: the total time from arrival to completion of service at...

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The total time from arrival to completion of service at a fast-food outlet, Yi, and the time spent in waiting in line before arriving at the service window, Y2, have joint density function Otherwise a) (9 pts) Find the joint density function for U -2Y and U-Y-Y using the two variable transformation method of section 6.6.b) (3pts) Without using integration or other calculus techniques, use the joint distribution found in part la to find the marginal distribution of U; be sure to include the support for U. Furthermore, Ur has a special distribution you have seen before, so be sure to give its name and parameters.

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