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Random Walk and Statistics, last time we hit 0

  • Thread starter frinny913
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This is for my Statistics and Stochastic Processes class, we are learning about random walk

1. Let p<q where p is success (+1) and q is failure (-1). Let T=last time we hit 0 (T[tex]\geq[/tex]0) Find P(T=t)

Then using the answer from the above question, make up a formula for [tex]\sum(2n choose n)*x^{n}[/tex]



The Attempt at a Solution


I know the law of large numbers says that the random walk will eventually enter a downward cone and never leave, meaning that at a long enough time the amount of loses will be greater than the wins because of p and q. But I don't know where this gets me.
 

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