I'm struggling to get the approximation when after N steps in a random walk the mean=N/6 and variance=N/18. I know that as N becomes very large, we can approximate it to a Normal distribution, but my algebra leaves me this Any ideas?
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it would be nice to know what that is approximating. If it's a normal distribution with the given mean and variance then the N in the numerator of the argument to the exponential function should be N/2
Apologies. I'm trying to show that using the values for the mean=N*<r>=N/6 and variance=N*Var(r)=N/18 that I mentioned above.
Last edited by Cairo; Dec 12th 2018 at 08:34 AM.