A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 4 kilograms, 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 as shown. Find the covariance between the weight of the creams and the weight of the toffees in these boxes of chocolates. f(x,y) = 32xy, 0≤x≤4,0sy≤4, x+y≤4 0, elsewhere

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 4 kilograms, 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 as shown. Find the covariance between the weight of the creams and the weight of the toffees in these boxes of chocolates.
f(x,y) = 32xy, 0≤x≤4,0sy≤4, x+y≤4
0,
elsewhere
Transcribed Image Text:A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 4 kilograms, 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 as shown. Find the covariance between the weight of the creams and the weight of the toffees in these boxes of chocolates. f(x,y) = 32xy, 0≤x≤4,0sy≤4, x+y≤4 0, elsewhere
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