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 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...
icon
Related questions
Topic Video
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.
Transcribed Image Text: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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON