candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that e weight of each box is 1 kilogram but the individual weights of the creams, toffees, and cordials vary from e box to box. For a randomly selected box, Let X and Y represent the weight of the crems and the toffees, spectively, and suppose that the joint density function of these variables is | 24xy 0sxs 1,0sys 1,x +y <1 f(x, y) : otherwise 1 Find the probability that in given box the cordials account for more than of the weight. 2 Find the marginal density for the weight of the creams 3 Find the probability that the weight of the toffees in a box is less than of a kilogram if it is known that creams constitute of the weight

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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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 1 kilogram but the individual weights of the creams, toffees, and cordials vary from
the box to box. For a randomly selected box, Let X and Y represent the weight of the crems and the toffees,
respectively, and suppose that the joint density function of these variables is
| 24xy 0<x<1,0 <y< 1,x + y < 1
f(x, y) :
otherwise
3.1 Find the probability that in given box the cordials account for more than of the weight.
3.2 Find the marginal density for the weight of the creams
3.3 Find the probability that the weight of the toffees in a box is less than of a kilogram if it is known that
creams constitute of the weight
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 kilogram but the individual weights of the creams, toffees, and cordials vary from the box to box. For a randomly selected box, Let X and Y represent the weight of the crems and the toffees, respectively, and suppose that the joint density function of these variables is | 24xy 0<x<1,0 <y< 1,x + y < 1 f(x, y) : otherwise 3.1 Find the probability that in given box the cordials account for more than of the weight. 3.2 Find the marginal density for the weight of the creams 3.3 Find the probability that the weight of the toffees in a box is less than of a kilogram if it is known that creams constitute of the weight
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