20105ee131A_1_ps6_2010fall

# 20105ee131A_1_ps6_2010fall - Problem 5.20 page 291 of ALG 7...

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EE 131A Problem Set 6 Probability Wednesday, November 10, 2010 Instructor: Lara Dolecek Due: Wednesday, November 17, 2010 Reading: Chapter 5 of Probability, Statistics, and Random Processes by A. Leon-Garcia 100 points total 1. Coin tossing and two RVs. Problem 5.2, page 288 of ALG 2. Coin tossing and two RVs and pdfs. Problem 5.10, page 289 of ALG 3. Noisy communication. Problem 5.3, page 288 of ALG 4. Robot movement. Problem 5.15, page 290 of ALG 5. Robot movement and (in)dependence. Problem 5.38, page 293 of ALG 6. Joint and marginal cdf.
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Unformatted text preview: Problem 5.20, page 291 of ALG 7. Joint cdf properties. Problem 5.21, page 291 of ALG 8. Joint and Marginals. Problem 5.30, page 292 of ALG 9. More joint and marginal . Let X be uniformly distributed over (0 , 1), and let Y be uni-formly distributed over (0 ,X ). Find the joint density of ( X,Y ) and ﬁnd the marginal density of Y . 10. Joint pdf and cdf . Suppose X and Y have joint cdf F and joint pdf f . Find the joint pdf and joint cdf of the pair ( W,Z ) where W = X 2 and Z = Y 2 . 1...
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## This note was uploaded on 01/16/2011 for the course EL ENGR 131A taught by Professor Dolecek during the Fall '10 term at UCLA.

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