1 A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 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). 1 1 1 f(x,y) = 384xy xxxsx+y elsewhere 1 (a) Find the probability that in a given box the cordials account for more than of the weight. The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. Select the correct choice below and fill in the answer box to complete your choice. A. g(x)= OB. h(y)= 1 (c) Find the probability that the weight of the toffees in a box is less than 8 of a pound if it is known that creams constitute 2 3 of the weight. The probability is . (Simplify your answer.)

1 A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 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). 1 1 1 f(x,y) = 384xy xxxsx+y elsewhere 1 (a) Find the probability that in a given box the cordials account for more than of the weight. The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. Select the correct choice below and fill in the answer box to complete your choice. A. g(x)= OB. h(y)= 1 (c) Find the probability that the weight of the toffees in a box is less than 8 of a pound if it is known that creams constitute 2 3 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...

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Consider the following game of chance. A card is drawn from a standard 52-card deck. A player must pay 6 dollars to play the game, which must be subtracted from the winnings. If a black card is drawn, the player wins 10 dollars; otherwise, they lose their 6 dollars. (a) Calculate the expected value for the game. $ (b) Do you expect to win or to lose? Type win or lose. (c) Calculate the price that would make the game fair. $ Round to the nearest cent as needed.
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Please solve the last 3 problems, I just submitted and have solution to the first 3 problems .
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solve for x and y
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how did you get the new equations in last part of step 2?
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