THE GEORGE WASHINGTON UNIVERSITY
EMSE 182/282
MIDTERM EXAM
SPRING 2008
1.
A component of an electronics system is tested and the defects are randomly distributed with
a Poisson distribution and the number of defects per component is 0.03.
(a).
What is the probability a component will have exactly one defect?
Poisson Probability Distrubution Funtion (PDF)
is
p(x =
.
Ñ
/
Bx
B


(b).
What is the probability a component will have one or more defects?
(c).
If you improve the process and the defects per component reduce by ½ of the original rate,
what effect will that have on the probability a component will have one or more defects?
1
2.
A random sample was collected from a process in its original state and it had a mean
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View Full Document= 10.03 and sample variance
=
93.58 for a sample size of n = 9.
An attempt to improve
B=
"
"
#
"
the process was made by process modifications and a second sample was taken to prove this out.
The new sample has a mean
=
7.98 and sample variance
=
81.32 for a sample size of n
2
#
#
#
= 7.
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 Spring '07
 Harris
 Normal Distribution, Standard Deviation, Variance, UCL

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