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 2 kilograms, 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 0<x<2, 0 sys2, x+y=2 f(x,y) = 2xy, 0, elsewhere 1 (a) Find the probability that in a given box the cordials account for more than 1 / 3 of the weight The probability is (Simplify your answer.)