ps4 - Problem 6: A biased coin with probability of heads...

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UCSB Fall 2009 ECE 235: Problem Set 4 Assigned: Friday October 23 Due: Tuesday November 3 (by noon, in course homework box) Reading: Hajek, Chapter 2 Topics: Convergence concepts; Law of Large Numbers; Central Limit Theorem; Cherno± Bound Practice problems (not to be turned in): The even numbered problems in Chapter 2, up to Problem 2.32. Compare your solutions with the solutions provided to make sure you understand the concepts. Problems 1-5: Problems 2.7, 2.11, 2.13, 2.15, 2.19
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Unformatted text preview: Problem 6: A biased coin with probability of heads equal to 0.6 is thrown 400 times. Assume that the outcome of each throw is independent. (a) Compute (i.e., nd the numerical value of) the probability of obtaining 220 heads or less. (b) Compare the probability in (a) with the CLT approximation and with an optimized Cherno bound. Which works better? (c) Repeat (a)-(b) for the probability of obtaining 320 heads or more....
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