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  3. 2 each month a manufacturer stocks one warehouse with good...

Question: 2 each month a manufacturer stocks one warehouse with good...

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(+2) Each month, a manufacturer stocks one warehouse with good a and two ware- houses with good y. Monthly sales for r and y (as fractions of a full warehouse) are then random, described by the following joint density: 0, else Find k to make f(x, y) a legitimate density function (+2) Suppose that goods a and y sell for $50,000 and $40,000 (per warehouse-full), respectively. For the joint density given in question 1, find average total monthly revenue. (+2) Using the joint density given in question 1, find the marginal densities of sales for goods r and y. (+1) Using the joint density given in question 1 and your answer to question 3, are r and y independent? How can you tell?

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