Annie and Alvie have agreed to meet for lunch betweennoon

Chapter 5, Problem 27

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Annie and Alvie have agreed to meet for lunch betweennoon (0:00 p.m.) and 1:00 p.m. Denote Annies arrivaltime by X, Alvies by Y, and suppose X and Y are independentwith pdfsfX(x) 5 53x2 0 # x # 1 0 otherwisefY ( y) 5 52y 0 # y # 1 0 otherwiseWhat is the expected amount of time that the one whoarrives first must wait for the other person? [Hint:h(X, Y) 5 u X 2 Y u .]

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