# Tagged Questions

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### Expected minimum of a finite random walk.

So I couldn't find any resource for how to calculate the expected minimum of a random walk. Since it is such the minimum of the random variables are actually not independent as they are cumulative ...
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### Strong Law of Large numbers, prove expression is Standard Normal

Question: "Let $X_{1},X_{2},\cdots$ be a sequence of independent random variables such that $X_{n}$ is binomial with parameters $2n-1$ and $p=\frac{1}{2}$. If Y_{n} = \frac{2(X_{1}+X_{2}+\cdots ...
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### Random walk confusion

If a ransom walk is binomial (1/2 probability of going forward, 1/2 backward) why isn;t the variance a) $\sigma=(\frac{n}{4})^.5$ b) instead of $\sigma=(n)^.5$ these sources seem to give ...
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### Expectation of Random Walk

At each time step, I have 1/2 probability of walking one step to the right, and the same probability of walking one step to the left. Let X be the random variable corresponding to the final ...
### Expectation of $T^2$ where $T$ is the absorption time at ${a,−a}$ of a simple random walk $\{S_n\}$
I asked a very similar question before: Expectation of $TS_T$ where $T$ is the absorption time at $\{a,-a\}$ of a simple symmetric random walk $\{S_n\}$ But this time I have an ASYMMETRIC random ...