# HW7 - Question 8: [Basic] Assume X is a Poisson random...

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ECE 302, Homework #7, Due 3/4 http://www.ece.purdue.edu/ chihw/ECE302 09S.html Question 1: [Basic] Consider two random variables X and Y , and suppose Y = 2 X +3 . 75. Suppose we also know the mean of X is 1.2 and the variance of X is 2.8. Find out E ( Y ), E ( Y 2 ), and Var( Y ). Question 2: [Basic] Problem 4.5. Question 3: [Intermediate/Exam Level] Problem 4.8. [Optional: You should compare your drawing for (a) and (b). Do they look similar?] Question 4: [Basic] Problem 4.9. Question 5: [Basic] Problem 4.17. Question 6: [Basic] Problem 4.18. Question 7: [Basic] Assume X is an exponential random variable with parameter λ = 0 . 3 and also assume a = 1, b = 3 . 5. Complete Problem 4.35.

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Unformatted text preview: Question 8: [Basic] Assume X is a Poisson random variable with parameter = 3 . 4 and also assume a = 0 . 2, b = 4 . 2. Complete Problem 4.35(a) and nd the conditional pmf P ( X = k | a X b ). Question 9: [Basic] (Similar to Problem 4.80.) Let Y = 2 X +3. Suppose we have already know the pdf of X , nd the pdf of Y . Hint: Find the cdf of Y rst. Y = max( X, 0). Question 10: [Basic] Problem 4.85. There is another question on the back. Question 11: [Intermediate/Exam Level] Problem 4.76. Please replace Y = ( X ) + by Y = max( X, 0)....
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## This note was uploaded on 05/02/2009 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue University-West Lafayette.

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HW7 - Question 8: [Basic] Assume X is a Poisson random...

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