Consider a random walk model: the random walk starts at 0, and each X_i has the same distribution such that P[X_i =1] = P[X_i = -1]= 1/2. Let S_N = X_1 + X_2+ ... + X_N Compute P[S_N=0], namely the pr

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider a random walk model: the random walk starts at 0, and each X_i has the same distribution such that P[X_i =1] = P[X_i = -1]= 1/2. Let S_N = X_1 + X_2+ ... + X_N

Compute P[S_N=0], namely the probability of returning to 0 at time N.

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