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Suppose that you go trickortreating (GS) at a house that leaves its candy in a bowl outside the front door. The homeowners stock the bowl
Suppose that you go trickortreating (GS) at a house that leaves its candy in a bowl outside the front door. The homeowners stock the bowl with three types of candy funsize Mars Bars= bags of Skittles, and Reese's Peanut Butter Cups. These homeowners are very generous= and have a sign up next to their bowl that each trickortreater can choose three items. \"Then you arrive at this house (dressed as a witch .f) the inventory is running low, and currently the bowl has 5 Mars Bars, 2 bags of Skittles, and 3 Reese's Peanut Butter Cups. You can't decide what your favourite candy is, so you decide to just choose your three items at random. Let X be the number of Mars Bars you get, and let Y be the number of bags of Skittles you get. (a) write down the joint probability mass function of X and Y, mxy. (1')) Use your answer from part (a) to write down the probability mass function of X and Y. (c) Are X and Y independent random variables? Explain your
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