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The amount of flour used per day by a bakery is a random

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

Solution for problem 4E Chapter 6

Mathematical Statistics with Applications | 7th Edition

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

Mathematical Statistics with Applications | 7th Edition

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Problem 4E

Problem 4E

The amount of flour used per day by a bakery is a random variable Y that has an exponential distribution with mean equal to 4 tons. The cost of the flour is proportional to U = 3Y + 1.

a Find the probability density function for U .

b Use the answer in part (a) to find E(U ).

Step-by-Step Solution:

Solution:

Step 1 of 3:

It is given that Y is a random variable and it denotes the amount o0f flour used by a bakery per day.

Y has the Exponential distribution with mean 4 tones.

Also, it is given that the total cost is expressed as U=3Y+1.

Using this we have to find the required answers.


Step 2 of 3

Chapter 6, Problem 4E is Solved
Step 3 of 3

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

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The amount of flour used per day by a bakery is a random