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 ±rstborn in his/her family? D. A coin has probability p of coming up heads and 1p 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 (1x n1 ) + (1p ) x n1 for n ≥ 1. (b) Let a n = 2 x n1. Express a n in terms of a n1 . (c) Use part (b) to compute a n , and therefore x n , for n ≥ 1. 1...
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 Spring '08
 hitrik
 Math, Probability, The Child, his/her family

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