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Please help solve the following: Beta Corporation is a mining business owned by Lee Hu Kay. As CEO of the firm, he confronts most of

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Beta Corporation is a mining business owned by Lee Hu Kay. As CEO of the firm, he confronts most of the problems concerning his employees and subsidiaries. Assist Lee Hu Kay in solving the following concerns in his company. 1. In one of his subsidiaries, Sheltron, gasoline is stocked in a bulk tank each week. Let X denote the proportion of the tank's capacity that is stocked in each week and let Y denote the proportion of the tank's capacity that is sold in the same week. Note that the gas station cannot sell more than what was stocked in each week, which implies that the value of Y cannot exceed the value of X. A possible joint pdf of X and Y is given by fx,y (x, y) = 3x, 0

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