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Math Help - Random Walk

  1. #1
    Junior Member
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    Random Walk

    I am having a lot of trouble with the following question:

    A point starts at the origin on the real line and takes unit steps to the right with probability p or to the left with probability q = 1 - p. Assuming that the steps are independent, find the expected value of the squared distance from the origin after n steps.

    I'm not really sure about how to attempt the question. I think it is asking for the variance though? Any help would be appreciated.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    I hope the below link will be helpful...

    Bertrand's ballot theorem - Wikipedia, the free encyclopedia
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