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Let 7 be the random time when a random walk first hits either the point x = 2 or -2. That is: T=T1 = min {n : \Sn] =2} Please find the probability distribution and the expected value of T. Hint: You

Let 7 be the random time when a random walk first hits either the point x = 2 or -2. That is: T=T1 = min {n : \Sn] =2} Please find the probability distribution and the expected value of T. Hint: You can consider consecutive pairs with a 'size of 2' such as (1,1),(-1,-1) and consecutive pairs such as (-1,1),(1, -1) separately and get help from first success probability.

Apr 18 2021 View more View Less

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