Q2) You are the manager of a small company that produces industrial parts for automobile assembly. One of your products is too technical and therefore takes longer than the other parts to produce. As a manager, you want to make sure that the quantity you produced is more or less in line with demand. Based on historical data, he got the following: 300 400 500 600 Probability 0.20 0.30 0.35 0.15 a) Explain in words what the random variable is in this case. b) What is the expected value of the random variable? c) What is the variance of the random variable?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Q2) You are the manager of a small company that produces industrial parts for
automobile assembly.
One of your products is too technical and therefore takes longer than the other parts
to produce. As a manager, you want to make sure that the quantity you produced is
more or less in line with demand.
Based on historical data, he got the following:
300
400
500
600
Probability
0.20
0.30
0.35
0.15
a) Explain in words what the random variable is in this case.
b) What is the expected value of the random variable?
c) What is the variance of the random variable?
Transcribed Image Text:Q2) You are the manager of a small company that produces industrial parts for automobile assembly. One of your products is too technical and therefore takes longer than the other parts to produce. As a manager, you want to make sure that the quantity you produced is more or less in line with demand. Based on historical data, he got the following: 300 400 500 600 Probability 0.20 0.30 0.35 0.15 a) Explain in words what the random variable is in this case. b) What is the expected value of the random variable? c) What is the variance of the random variable?
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