HW5_10 - m and standard deviation . In this case, Y is said...

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Online EE 131A Homework #5 Fall 2010 Due Nov. 3rd K. Yao Read Leon-Garcia (3rd edition), pp. 148-188; 233-254. 1. Problem 4.63 (p. 221). 2. A limiter Y = g ( X ) is shown in Fig. P4.2 (p. 219). a. Find the cdf and pdf of Y in terms of the cdf F X ( x ) and pdf f X ( x ) of X. b. Find the cdf and pdf of Y if X has a Laplacian pdf. c. Find the cdf and pdf of Y if X is a Gaussian rv with mean m and standard deviation σ. d. Find the cdf and pdf of Y if the input X = b sin ( U ) , where U is uniformly dis- tributed in the interval [0 , 2 π ] . 3. Let Y = e X . a. Find the cdf and pdf of Y in terms of the cdf F X ( x ) and pdf f X ( x ) of X. b. Find the cdf and pdf of Y if X is a Gaussian rv with mean
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Unformatted text preview: m and standard deviation . In this case, Y is said to be a lognormal pdf. 4. An urn contains 90 $1 bills, 9 $5 bills, and 1 $50 bill. Let the rv X be the denomination of a bill that is selected at random from the urn. Find the mean m of X. What is the interpretation of the mean of X as the break-even price of a ticket for the right to draw a single bill from the urn? 5. Problem 4.39 (p. 219). In order to solve this problem, you need to solve for the parameter c in Problem 4.17. 6. Problem 4.48 (p. 219)....
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This note was uploaded on 11/05/2010 for the course ELECTRICAL EE131A taught by Professor Kungyao during the Fall '10 term at UCLA.

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