3.41 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 Yrepresent the weights of the creams and the toffees, respectively, and suppose that the joint density function of these variables is _ 2439', 05351, 051151. 37+!I51, \"3.9) _ {0, 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 US of a kilogram if it is known that creams constitute 3/4 of the weight