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(5) Let us now consider a simple, symmetric random walk starting at 0 (which at each step goes up or down by one unit, with probability each). Let e, denote the expected number of times this random walk visits i before returning to 0. Calculate ej and e1000- Does your answer surprise you, and can you intuitively justify the reason behind this phenomenon?

(5) Let us now consider a simple, symmetric random walk starting at 0 (which at each step goes up or down by one unit, with probability each). Let e, denote the expected number of times this random walk visits i before returning to 0. Calculate ej and e1000- Does your answer surprise you, and can you intuitively justify the reason behind this phenomenon?

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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(5) Let us now consider a simple, symmetric random walk starting at 0 (which at each step goes up or down by one unit, with probability each). Let e, denote the expected number of times this random walk visits i before returning to 0. Calculate ej and e1000- Does your answer surprise you, and can you intuitively justify the reason behind this phenomenon?
Transcribed Image Text:(5) Let us now consider a simple, symmetric random walk starting at 0 (which at each step goes up or down by one unit, with probability each). Let e, denote the expected number of times this random walk visits i before returning to 0. Calculate ej and e1000- Does your answer surprise you, and can you intuitively justify the reason behind this phenomenon?
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