d) Suppose that you observe this taxi company for a month (30 days) and you are particularly interested in the number of days that the company has all three vehicles available in a month. i. Discuss under which assumption(s) the binomial model would be a good fit to answer this question. ii. What is the probability distribution of the number of days that the com- pany has all three vehicles available in a month? iii. What is the probability that there will be exactly 8 days that the company has all three vehicles available in a month?
d) Suppose that you observe this taxi company for a month (30 days) and you are particularly interested in the number of days that the company has all three vehicles available in a month. i. Discuss under which assumption(s) the binomial model would be a good fit to answer this question. ii. What is the probability distribution of the number of days that the com- pany has all three vehicles available in a month? iii. What is the probability that there will be exactly 8 days that the company has all three vehicles available in a month?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Show full answers and steps to part d)
Transcribed Image Text:A long-distance taxi service company owns three vehicles. These vehicles are of
different ages and have different repair records. The probabilities that, on any
given day, each vehicle will be available for use are 0.90, 0.80, and 0.85. Whether
one vehicle is available is independent of whether any other vehicle is available.
a) Find the probability distribution for the number of vehicles available for use
on a given dav. (
b) Find the expected number of vehicles available for use on a given day.
c) Find the standard deviation of the number of vehicles available for use on a
given day.
d) Suppose that you observe this taxi company for a month (30 days) and you
are particularly interested in the number of days that the company has all
three vehicles available in a month.
i. Discuss under which assumption(s) the binomial model would be a good
fit to answer this question.
ii. What is the probability distribution of the number of days that the com-
pany has all three vehicles available in a month?
iii. What is the probability that there will be exactly 8 days that the company
has all three vehicles available in a month?
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