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 isf(x, y) = {24xy,0,0sxS 1,0 s y s 1,x+ ys1elsewhere.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 ¾ of the weight.

given Joint density function is, f(x,y)=24xy ;0≤x≤1 , 0≤y≤1, x+y⩽10 ;elsewhere Divide…

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 sys 1, S(x, y) = (24xy, x + ys1 0, elsewhere. a. Find the probability that in a given box the cordials account for more than % 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 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 sys 1, S(x, y) = (24xy, x + ys1 0, elsewhere. a. Find the probability that in a given box the cordials account for more than % 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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