# 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., ²nd 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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## This note was uploaded on 12/29/2011 for the course ECE 253 taught by Professor Brewer,f during the Fall '08 term at UCSB.

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