1 A candy company distribules boxes of chocolates with a mixture of creams, loflees, and cordials Suppose that the weight of each box is pound, but the individual weights of the creams, loffers, and condials vary from box to box For a randomly selected box, let X and Y represent the weights of the creams and the toffees, respectively, and suppose that the joint density function of these variables is shown below. Complete parts (a) through (c) 384xy 0sxs , 0sys x+ys1 elsewhere fox,y)= (a) Find the probability that in a given box the cordials account for more than of the weight The probability is (Simplify your answer) () Find the marginal density for the weight of the crearms Select the corect choice below and fill in the answer box to complete your choice. OA 2000- OB. Ny 1 (c) and the probability that the weight of the toffees in a box is less than of a pound if it is known that creams constitute of the weight. The probability is (Simplity your ansver)

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