Question: Please solve Question No 2: Ali has just returned from the market and has brought a mystery fruit carton for his kids. The carton contains

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Please solve Question No 2: Ali has just returned from the market

Question No 2: Ali has just returned from the market and has brought a mystery fruit carton for his kids. The carton contains 3 melons, 4 mangoes, and 2 apples. Ali asks his son to open the mystery fruit box and randomly pick any 4 of the fruits. Let X and Y denote the melons and mangoes respectively, find the following: a) The joint probability mass function (PMF) of X and Y, i.e., Pxy (x, y) b) Marginal PMFs of X and Y, i.e., Px (x) and py (y) c) Determine E[Y + 3X + 3] d) Let R be a region given by (X + Y

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