Question: answer this problem A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box

answer this problem

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 1 kilogram, but the individual weights of the creams, toffees, and cordials 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 f(zy) = 10, elsewhere. a) Find the probability that in a given box the cordials account for more than 1/2 of the weight. b) Find the marginal density for the weight of the creams. c) Find the probability that the weight of the toffees in a box is less than 1/8 of a kilogram if it is known that creams constitute 3/4 of the weight

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