a. What is the expected weekly demand for the alarm clock radio? b. What is the variance and standard deviation of weekly demand for the alarm clock radio? c. What is the probability that weekly demand will be greater than the number of available radios? There
a. What is the expected weekly demand for the alarm clock radio? b. What is the variance and standard deviation of weekly demand for the alarm clock radio? c. What is the probability that weekly demand will be greater than the number of available radios? There
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Question 2
A store stocks four alarm clock radios. If it has fewer than four clock radios available at the end
of a week, the store restocks the item to bring the in-stock level up to four. If weekly demand is
greater than the four units in stock, the store loses the sale. The radio sells for $25 and costs the
store $15. The store manager estimates that the probability distribution of weekly demand for the
radio is as follows:
x(Weekly Demand)
Probability
0
0.05
1
0.05
2
0.1
3
0.2
4
0.4
5
0.1
6
0.05
7
0.05
a. What is the expected weekly demand for the alarm clock radio?
b. What is the variance and standard deviation of weekly demand for the alarm clock radio?
c. What is the probability that weekly demand will be greater than the number of available
radios?
d. What is the expected weekly profit from the sale of the alarm clock radio? (Remember: There
are only four clock radios available in any week to meet demand.)
e. On average, how much profit is lost each week because the radio is not available when
demanded?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F074163f0-1240-477f-b22d-75b10eb6eb74%2Fc9d71df8-dc5c-42c4-a2a3-3c1317a2ce58%2F5a8vy3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
A store stocks four alarm clock radios. If it has fewer than four clock radios available at the end
of a week, the store restocks the item to bring the in-stock level up to four. If weekly demand is
greater than the four units in stock, the store loses the sale. The radio sells for $25 and costs the
store $15. The store manager estimates that the probability distribution of weekly demand for the
radio is as follows:
x(Weekly Demand)
Probability
0
0.05
1
0.05
2
0.1
3
0.2
4
0.4
5
0.1
6
0.05
7
0.05
a. What is the expected weekly demand for the alarm clock radio?
b. What is the variance and standard deviation of weekly demand for the alarm clock radio?
c. What is the probability that weekly demand will be greater than the number of available
radios?
d. What is the expected weekly profit from the sale of the alarm clock radio? (Remember: There
are only four clock radios available in any week to meet demand.)
e. On average, how much profit is lost each week because the radio is not available when
demanded?
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