A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 1 pound, 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). 24xy, 0 ≤x≤1,0 sy≤1,x+y≤1 f(x,y) 0, elsewhere (a) Find the probability that in a given box the cordials account for more than The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. 3 of the weight. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y)= O B. g(x)= (c) Find the probability that the weight of the toffees in a box is less than 1 ½ of a pound if it is known that creams constitute of the weight. The probability is (Simplify your answer.)

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 1 pound, 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). 24xy, 0 ≤x≤1,0 sy≤1,x+y≤1 f(x,y) 0, elsewhere (a) Find the probability that in a given box the cordials account for more than The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. 3 of the weight. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y)= O B. g(x)= (c) Find the probability that the weight of the toffees in a box is less than 1 ½ of a pound if it is known that creams constitute of the weight. The probability is (Simplify your answer.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks