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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. 
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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