3. A candy company distributes boxes of chocolates with a mixture of creams, toffees,and cordials. Suppose that the weights of the creams, toffees, and cordials vary frombox to box, let X and Y represent the weights of the creams and toffees,respectively, and suppose that the joint density function of these variables is0sx< 1,0 < y S 1,f(x, y) =[24xy,x + y<10,elsewhere.a. Find the probability that in a given box the cordials account for more than ½ ofthe weight.b. Find the marginal density for the weight for the creams.c. Find the probability that the weight of the toffees in a box is less than 1/8 of akilogram if it is known that the creams constitute % of the weight.

It is known that the weight of the cordals is 1-X-Y therefore the probability is given by:…

3. A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box, let X and Y represent the weights of the creams and toffees, respectively, and suppose that the joint density function of these variables is 0sxs 1,0 s y < 1, x + ys1 elsewhere. S24xy, f(x, y) = 0, a. Find the probability that in a given box the cordials account for more than 2 of the weight. b. Find the marginal density for the weight for 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 the creams constitute of the weight.

3. A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box, let X and Y represent the weights of the creams and toffees, respectively, and suppose that the joint density function of these variables is 0sxs 1,0 s y < 1, x + ys1 elsewhere. S24xy, f(x, y) = 0, a. Find the probability that in a given box the cordials account for more than 2 of the weight. b. Find the marginal density for the weight for 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 the creams constitute of the weight.

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...

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