×
Log in to StudySoup
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 132e
Join StudySoup for FREE
Get Full Access to Mathematical Statistics With Applications - 7 Edition - Chapter 4 - Problem 132e

Already have an account? Login here
×
Reset your password

Proper blending of fine and coarse powders prior to copper

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 132E Chapter 4

Mathematical Statistics with Applications | 7th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

4 5 1 319 Reviews
28
1
Problem 132E

Problem 132E

Proper blending of fine and coarse powders prior to copper sintering is essential for uniformity in the finished product. One way to check the homogeneity of the blend is to select many small samples of the blended powders and measure the proportion of the total weight contributed by the fine powders in each. These measurements should be relatively stable if a homogeneous blend has been obtained.

a Suppose that the proportion of total weight contributed by the fine powders has a beta distribution with α = β = 3. Find the mean and variance of the proportion of weight contributed by the fine powders.

b Repeat part (a) if α = β = 2.

c Repeat part (a) if α = β = 1.

d Which of the cases—parts (a), (b), or (c)—yields the most homogeneous blending?

Step-by-Step Solution:

Solution

Step 1 of 4

a) We have to find mean and variance of weight contributed by the fine powders

Let Y be the weight contributed by the fine powders

Here Y follows the beta distribution

Given

Mean(Y)=

              =3/6

              =0.5

Variance(Y) =

                    =

                    =9/252

                    =1/28

                    =0.0357

Hence if  the mean(Y) is 0.5 and variance(Y) is 0.0357


Step 2 of 4

Chapter 4, Problem 132E is Solved
Step 3 of 4

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Proper blending of fine and coarse powders prior to copper