1 2 A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is pound, 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 shown below. Complete parts (a) through (c). 1 1 f(x,y) = 384xy. 0x0yx+y 0, elsewhere (a) Find the probability that in a given box the cordials account for more than The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. of the weight. 2 Select the correct choice below and fill in the answer box to complete your choice. O A. g(x)= OB. h(y)= 2 (c) Find 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 (Simplify your answer.)

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