B-1. As a side business, Mr Happy, keeps a fleet of luxury limousines that he rents out to a few individual clients. Each client needs at most 1 limo. The demand per week (i.e., the total number of customers per week) for Mr Happy's limos has the following probability distribution: Demand/Week 0 1 2 3 4 Probability 0.05 0.2 0.5 0.2 0.05 (a) What is the expected value and the variance of the demand per week?
B-1. As a side business, Mr Happy, keeps a fleet of luxury limousines that he rents out to a few individual clients. Each client needs at most 1 limo. The demand per week (i.e., the total number of customers per week) for Mr Happy's limos has the following probability distribution: Demand/Week 0 1 2 3 4 Probability 0.05 0.2 0.5 0.2 0.05 (a) What is the expected value and the variance of the demand per week?
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
![B-1. As a side business, Mr Happy, keeps a fleet of luxury limousines that he rents out to a
few individual clients. Each client needs at most 1 limo. The demand per week (i.e., the total
number of customers per week) for Mr Happy's limos has the following probability
distribution:
Demand/Week 0
1
2
4
Probability
0.05
0.2
0.5
0.2
0.05
(a) What is the expected value and the variance of the demand per week?
(b) Suppose Mr. Happy has only 3 limos. It costs Mr. Happy £3,000 per week to maintain
each limousine and his rental price per limo per week is £4,000. What is his expected weekly
profit?
(c) What is the probability that Mr. Happy makes a profit in a randomly chosen week?
(d) Now suppose that you want to enter this business with the same demand distribution as
Mr. Happy. You have to decide how many limos you want to own to maximize your
expected profit. The cost of maintaining each limo and the rental price is the same as Mr.
Happy. How many limos should you own?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5328676-bce0-4621-ab58-a7d6d2dcc2be%2Fc98e5e99-a751-49cc-b499-c01192340282%2F3hyp2hl_processed.png&w=3840&q=75)
Transcribed Image Text:B-1. As a side business, Mr Happy, keeps a fleet of luxury limousines that he rents out to a
few individual clients. Each client needs at most 1 limo. The demand per week (i.e., the total
number of customers per week) for Mr Happy's limos has the following probability
distribution:
Demand/Week 0
1
2
4
Probability
0.05
0.2
0.5
0.2
0.05
(a) What is the expected value and the variance of the demand per week?
(b) Suppose Mr. Happy has only 3 limos. It costs Mr. Happy £3,000 per week to maintain
each limousine and his rental price per limo per week is £4,000. What is his expected weekly
profit?
(c) What is the probability that Mr. Happy makes a profit in a randomly chosen week?
(d) Now suppose that you want to enter this business with the same demand distribution as
Mr. Happy. You have to decide how many limos you want to own to maximize your
expected profit. The cost of maintaining each limo and the rental price is the same as Mr.
Happy. How many limos should you own?
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