Chapter 9 Assignment
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School
Cleveland State University *
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Course
445
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
docx
Pages
3
Uploaded by BarristerAlligator151
Chapter 9 Assignment
For this assignment, please download and print the questions. Then do your calculations on the paper.
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Q1. Probability
A company produces chairs in four different styles and three different fabrics. Use the table to calculate
the probability that a chair picked at random will be made from Fabric 2. If a chair is style 1, what is the
probability that it will be made from fabric 1? What is the probability that a chair of style 4 will be
selected at random? If a chair is made from fabric 1 what is the probability that it is a style 3 chair?
Fabric
Style
F1
F2
F3
Total
S1
160
50
80
290
S2
120
30
90
240
S3
80
60
85
225
S4
100
35
110
245
Total
460
175
365
1000
P(fabric 2)= 175/1000=0.175
P(fabric 1|chair style 1|=160/290=0.551724
P(Chair style 4)=245/1000=0.245
P(fabric 1|chair style 3)=0.48913
Q2. Hypergeometric Probability
A collection of 15 paintings contains 4 counterfeits. If two paintings are selected at random without
replacement, what is the probability that both paintings are not counterfeit?
P(d)=
Q3. Binomial Probability
Plastic milk containers are produced by a machine that runs continuously. If four percent of the
containers produced are non-conforming, calculate the probability that out of five containers selected at
random, less than 2 are non-conforming.
Q4. Poisson Probability
If the average arrival rate of customers is three in every ten minutes, what is the probability that more
than two customers will arrive in the next ten minutes?
Q5. Normal Probability Distribution
The mean weight of a product is 450g, with a standard deviation of 22 and a normal distribution. What
percentage of products will weigh between 427 and 458g.
Mean=450
SD=22
=P(427<x<458)
=P(x<458)-P(x<427)
=P(z<458-450/22)-P(z<427-450/22)
=0.364
=-1.0455
=0.6406
=
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