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20105ee131A_1_ps8_2010fall

# 20105ee131A_1_ps8_2010fall - 6 CLT Problem 7.26 page 404 of...

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EE 131A Problem Set 8 Probability Wednesday, November 24, 2010 Instructor: Lara Dolecek Due: Monday, December 6, 2010 Last Assignment! Please turn in this homework by 5 p.m. in the box in front of Professor’s Office: Eng. IV, 56-147B Reading: Chapters 5, 6, 7 and 8 of Probability, Statistics, and Random Processes by A. Leon-Garcia 100 points total 1. Jointly Gaussian. Problem 5.110, page 299 of ALG 2. Mixture Gaussian. Problem 5.117, page 300 of ALG 3. Joint cdf, pdf refresher. Problem 5.129, page 301 of ALG 4. Moments of a sum. Problem 7.1, page 402 of ALG 5. Moments of a sum, again. Problem 7.3, page 402 and Problem of ALG
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Unformatted text preview: 6. CLT. Problem 7.26, page 404 of ALG 7. CLT, again. Problem 7.27, page 404 of ALG 8. Goodness of ﬁt. Problem 8.94, page 485 of ALG 9. Conditional expectation. Let X and Y have a joint density f X,Y that is uniform over the interior of the triangle with vertices at (0 , 0), (2 , 0), and (1 , 2). Find the conditional expectation of Y given X . 10. Fair coin tossing. A fair coin is tossed until 100 heads appear. Find the probability that (a) at least 226 tosses will be necessary, (b) exactly 226 tosses will be necessary. 1...
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