A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box, let X and Y represent the weights of the creams and toffees, respectively, and suppose that the joint density function of these variables is; 0

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box, let X and Y represent the weights of the creams and toffees, respectively, and suppose that the joint density function of these variables is; 0

Name: Probability Distribution A candy company distributes boxes of chocolat
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Description: Probability Distribution A candy company distributes boxes of chocolates with a mixture of creams, toffees, andcordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box,let X and Y represent the weights of the cream

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Probability Distribution

A candy company distributes boxes of chocolates with a mixture of creams, toffees, and
cordials. Suppose that the weights of the creams, toffees, and cordials vary from box to box,
let X and Y represent the weights of the creams and toffees, respectively, and suppose that
the joint density function of these variables is;
f(x, y) = {24xy,
0,
0 <x< 1,0 < y < 1,
x + y <1
elsewhere.
A. Find the probability that in a given box the cordials account for more than 1/2 of the
weight.
B. Find the marginal density for the weight for the creams.
C. Find the probability that the weight of the toffees in a box is less than 1/8 of a
kilogram if it is known that the creams constitute 3/4 of the weight.

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