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 December 30th, 2016, 06:55 AM #1 Newbie   Joined: Nov 2016 From: Greece Posts: 14 Thanks: 0 random walk That' s what i have to do: random walk.jpg I don't know anything about random walk, but i think that i should start with binomial distribution. Anyone who has solved a similar exercise please post the answer. Thanks!
 December 30th, 2016, 10:55 AM #2 Senior Member     Joined: Sep 2015 From: Southern California, USA Posts: 1,503 Thanks: 758 Why have you been given a problem that you know nothing about?
 December 30th, 2016, 12:33 PM #3 Newbie   Joined: Nov 2016 From: Greece Posts: 14 Thanks: 0 that's how education works in greek universities...
 December 30th, 2016, 12:50 PM #4 Senior Member     Joined: Sep 2015 From: Southern California, USA Posts: 1,503 Thanks: 758 This problem is isomorphic to the problem of the distribution of strings of binary digits of length n. a 1 in the string indicates moving right, a 0 indicates moving left. The final position corresponding to a string is $p = 2 \displaystyle{\sum_{k=1}^n}~\left(d_k - \dfrac 1 2\right)$ each string has probability $2^{-n}$ the trick is to determine, for a given position, how many strings wind up at that position. I'm going to let you think about that and see what you come up with. Thanks from tsam
 December 31st, 2016, 06:41 AM #5 Newbie   Joined: Nov 2016 From: Greece Posts: 14 Thanks: 0 I think i know how to use the binomial distributionin this problem. Thank you for your help.

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