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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)
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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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.)
Transcribed Image Text: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.)
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