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A food manufacturer uses an extruder (a machine that

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

Solution for problem 141E Chapter 3

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 141E

Problem 141E

A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, the daily revenue generated by the machine is R = 1600 − 50Y 2. Find the expected daily revenue for the extruder.

Step-by-Step Solution:

Solution

Step 1 of 1

We have to find the expected value of R=1600-50Y2  

Let Y denotes the no.of breakdowns per day

Given that there are 2 breakdowns on an average per day

Then

We know that E(Y2)=

Now E(R)=E(1600-50Y2 )=1600-50E(Y2 )

                                           =1600-50()

                                           =1600-50(4+2)

                                           =1600-300

                                           =1300

Hence the expected value of R is 1300 $


Step 2 of 1

Chapter 3, Problem 141E is Solved
Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

The full step-by-step solution to problem: 141E from chapter: 3 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. Since the solution to 141E from 3 chapter was answered, more than 1257 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. The answer to “A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, the daily revenue generated by the machine is R = 1600 ? 50Y 2. Find the expected daily revenue for the extruder.” is broken down into a number of easy to follow steps, and 76 words. This full solution covers the following key subjects: extruder, Revenue, food, machine, day. This expansive textbook survival guide covers 32 chapters, and 3350 solutions.

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