1 A candy company distributes boxes ol chocolates with a mixture 01 creams, totlees' and cordials. Suppose that the weight of each box is 3 pound, butthe indivtdual weights of the creams, toees, and cordials vary from box to box For a randomly selected hox' 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) t 1 1 384x g 57 s 57 7 ftxy): y, 0 x 2.0 y zany 2 {l elsewhere 1 (a) Find the probability that in a given box the cordials account for more than 3 of the weight. The probability is . (Simplify your answer) (to) Find the marginal density tor the weight of the creams, Select the curred choice below and ll in the answer box to complete your choice O A. 900: O B. hty>= 3 (c) Find the probability that the weight at the toees in a box is less than 3 of a pound if it is known that creams constitute I of the weight The probability IS , (Simplify your answer)