# HW7 - and also assume a = 1 b = 3 5 Complete Problem 4.35...

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ECE 302, Homework #7, due date: 3/02/2011 http://cobweb.ecn.purdue.edu/ chihw/11ECE302S/11ECE302S.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. There is a typo in the description. It should be X = 2 sin( ζ/ 4). 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

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Unformatted text preview: and also assume a = 1, b = 3 . 5. Complete Problem 4.35. Question 8: [Basic] Assume X is a Poisson random variable with parameter λ = 3 . 4 and also assume a = 0 . 2, b = 4 . 2. Complete Problem 4.35(a) and ﬁnd 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 being f X ( x ), ﬁnd the pdf of Y . Hint: Find the cdf of Y ﬁrst. Question 10: [Basic] Problem 4.85. Question 11: [Intermediate/Exam Level] Problem 4.76. Please replace Y = ( X ) + by Y = max( X, 0). Question 12: [Intermediate/Exam Level] Problem 4.86....
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## This note was uploaded on 02/12/2012 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue.

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HW7 - and also assume a = 1 b = 3 5 Complete Problem 4.35...

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