A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 1 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). 24xy, 0 ≤x≤1,0 sy≤1,x+y≤1 f(x,y) 0, elsewhere (a) Find the probability that in a given box the cordials account for more than The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. 3 of the weight. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y)= O B. g(x)= (c) Find the probability that the weight of the toffees in a box is less than 1 ½ of a pound if it is known that creams constitute of the weight. The probability is (Simplify your answer.)
A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weight of each box is 1 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). 24xy, 0 ≤x≤1,0 sy≤1,x+y≤1 f(x,y) 0, elsewhere (a) Find the probability that in a given box the cordials account for more than The probability is (Simplify your answer.) (b) Find the marginal density for the weight of the creams. 3 of the weight. Select the correct choice below and fill in the answer box to complete your choice. O A. h(y)= O B. g(x)= (c) Find the probability that the weight of the toffees in a box is less than 1 ½ of a pound if it is known that creams constitute of the weight. The probability is (Simplify your answer.)
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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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 1 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).
24xy, 0 ≤x≤1,0 sy≤1,x+y≤1
f(x,y)
0,
elsewhere
(a) Find the probability that in a given box the cordials account for more than
The probability is
(Simplify your answer.)
(b) Find the marginal density for the weight of the creams.
3
of the weight.
Select the correct choice below and fill in the answer box to complete your choice.
O A. h(y)=
O B. g(x)=
(c) Find the probability that the weight of the toffees in a box is less than 1 ½ of a pound if it is known that creams constitute of the weight.
The probability is
(Simplify your answer.)
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