Answer Happy

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials, Suppose that the weight of each box is logram, 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) 3.xy. Osxs osys xuys 1 fixy) 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 1/8 of a kilogram if it is known that creams constitute 3/4 of the weight.