2500_Exam2_F2010

# 2500_Exam2_F2010 - Name RIN Exam 2 Engineering Probability ECSE-2500 November 5 2010 Points 1 30 2 20 3 32 4 18 Total Points Earned 100 Notes Show

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Name: _______________________ RIN #: _______________________ Exam 2 Engineering Probability ECSE-2500 November 5, 2010 Points Points Earned 1 30 2 20 3 32 4 18 Total 100 Notes : Show all work. You have 75 minutes to take this exam. You are allowed one 8.5 x 11 inch piece of paper with anything written on either side OR two 8.5 x 11 inch pieces of paper with nothing written on one side of each. You may use a calculator, but no programmable features. No communication devices of any kind. All cell phones off. This exam has 7 pages including this cover page. Page 7 contains a table of values from the Standard Normal Gaussian distribution.

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2 1. (30 points) Let X be Gaussian with mean 3 and variance 16. Let 3 5. YX  1.a. (10 points) Compute the mean of Y . 1.b. (10 points) Compute the variance of Y . 1.c. (10 points) Give the PDF of Y .
3 2. (20 points) Let X be a RV with X 0 for x <1.6 0.5 for 1.6 x < 6.2 F (x) =

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## This note was uploaded on 11/29/2011 for the course ECSE 2500 taught by Professor Radke during the Spring '11 term at Rensselaer Polytechnic Institute.

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2500_Exam2_F2010 - Name RIN Exam 2 Engineering Probability ECSE-2500 November 5 2010 Points 1 30 2 20 3 32 4 18 Total Points Earned 100 Notes Show

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