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Exam 3v2 Answers, 5/17/2011, ECSE2500, Engineering Probability, RPI (Eng Prob Spring 2011)
5/18/2011 1:49:34 PM
http://www.ecse.rpi.edu/Homepages/wrf/pmwiki/EngProbSpring2011/Exam3v2Sol
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E
XAM
3
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2
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NSWERS
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5
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2011
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ECSE

2500
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NGINEERING
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ROBABILITY
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RPI
ECSE2500 Engineering Probability, RPI, Spring 2011 Home Page
(for grader use only) Finish order _________ Grade _______________ /60
NAME: ___WRF Answers_______________________________________________EMAIL:___________________________ RIN:____________
_____
There are eight pages with eight questions. Answer any
six questions. (If you answer more, then we will grade
the first ones.)
We record the order in which you hand in your exam the
better to keep track of the exams, and sometimes to
plot scatterplots of order vs grade. (There is never any
significant correlation.) Your order does not affect your
grade.
This exam is closed book but a calculator and two
3sided letterpapersize note sheets are allowed.
You may not use other computers or
communication devices, or share material with
other students.
For full points, your answers must be simplified as
much as reasonable.
Blue marks an answer.
Green marks a comment to the answer.
Numbering error: There were two question #1
1. [_____/10] Evaluate and give me the answer as an expression perhaps involving
and
. Show your work.
is a Gaussian pdf with
and integrates to 1. So,
2. [_____/10]
Random variable X is continuous U[0,2].
Random variable Y is continuous U[0,3].
Random variable Z is continuous U[0,4].
Random variable W
min(X,Y,Z).
Compute P[0<W<3].
You could do it the detailed way. Or, you could notice that min(X,Y,Z) <=2 and so P[0<W<3]=1.
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 Spring '11
 Radke
 Standard Deviation, Probability theory, Home Page, Eng Prob Spring

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