Let be the random time when a random walk first hits either the point x = 2 or 2. That is : = 1 = min {n : |Sn| = 2} Please find the probability distribution and the expected value of . 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. (You dont have to of course, as long as you solve the question any method is great.)