Consider the random walk Sn = X1 + X2 ++ Xn, where the Xi are independent and

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Consider the random walk Sn = X1 + X2 +···+ Xn, where the Xi are independent and identically distributed Bernoulli random variables that take on the value 1 with probability p = 0.6 and the value −1 with probability q = 1 − p = 0.4.

a. Find the probability P[S8 = 0].

b. What value of p maximizes P[S8 = 0]?

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Markov Processes For Stochastic Modeling

ISBN: 9780123744517

1st Edition

Authors: Oliver Ibe

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Question Posted: Nov 06, 2024 10:00 AM

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Consider the random walk Sn = X1 + X2 ++ Xn, where the Xi are independent and

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Markov Processes For Stochastic Modeling

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