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

(a) Find the probability that in a given box the cordials account for more than 1/2 of the weight.