2500_Exam2_Su2011 - Name: _ RIN #: _ Exam 2 Engineering...

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Exam 2, ECSE-2500, Summer 2011 Page 1 Name: _______________________ RIN #: _______________________ Exam 2 Engineering Probability ECSE-2500 July 29, 2011 Points Points Earned 1 30 2 15 3 15 4 20 5 20 Total 100 Notes : Show all work. You have 2 hours to take this exam, but no more. 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 Table 4.2 from your book as I promised. If you use this table, be sure to use the exact values and not the approximate values.
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Exam 2, ECSE-2500, Summer 2011 Page 2 1. (30 points) Let X be a Gaussian random variable with mean 2 and variance 16, and let 3 5. YX  1.a. (10 points) Calculate the mean of Y . 1.b. (10 points) Calculate the variance of Y . 1.c. (10 points) Write down the PDF (probability density function) of Y for all values of y .
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Exam 2, ECSE-2500, Summer 2011
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2500_Exam2_Su2011 - Name: _ RIN #: _ Exam 2 Engineering...

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