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Unformatted text preview: his/her family if you use method 2? (c) Which method results in the larger probability that the child chosen is the rst-born in his/her family? D. A coin has probability p of coming up heads and 1-p of coming up tails. Let x n be the probability that if the coin is tossed n times, the number of heads obtained is even. (a) Show that x n = p (1-x n-1 ) + (1-p ) x n-1 for n 1. (b) Let a n = 2 x n-1. Express a n in terms of a n-1 . (c) Use part (b) to compute a n , and therefore x n , for n 1. 1...
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This note was uploaded on 01/30/2012 for the course MATH 131a taught by Professor Hitrik during the Spring '08 term at UCLA.
- Spring '08