What is the probability that producing 40 units will not be enough to cover the demand?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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What is the probability that producing 40 units will not be enough to cover the demand? 

A small fleet of airplanes is nearing the end of its lifetime. The remaining operational lifetime
of the fleet is reckoned to be 3, 4 or 5 years, each with probability one-third. A decision
must be made on how many spare parts of a certain component to produce.
The demand for spare parts of the component is Poisson distributed with an expected value
of 10 units per year for each year of the remaining lifetime of the plane. The demands in
the various years are independent of each other.
The decision is made to produce 40 units of the spare part.
Transcribed Image Text:A small fleet of airplanes is nearing the end of its lifetime. The remaining operational lifetime of the fleet is reckoned to be 3, 4 or 5 years, each with probability one-third. A decision must be made on how many spare parts of a certain component to produce. The demand for spare parts of the component is Poisson distributed with an expected value of 10 units per year for each year of the remaining lifetime of the plane. The demands in the various years are independent of each other. The decision is made to produce 40 units of the spare part.
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