A random walk. A particle moves along the line in a random
Chapter , Problem 5.89(choose chapter or problem)
A random walk. A particle moves along the line in a random walk. That is, the particle starts at the origin (position 0) and moves either right or left in independent steps of length 1. If the particle moves to the right with probability 0.6, its movement at the ith step is a random variable Xi with distribution P1Xi 12 0.6 P1Xi 12 0.4 The position of the particle after k steps is the sum of these random movements, Y X1 X2 . . . Xk Use the central limit theorem to find the approximate probability that the position of the particle after 500 steps is at least 200 to the right. 5.90
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