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draks ...
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Can someone very simply explain to me how to compute the expected distance from the origin for a random walk in 1D, 2D$1D, 2D$, and 3D$3D$? I've seen several sources online stating that the expected distance is just sqrt(N)$\sqrt{N}$ where N$N$ is the number of time steps, but others say that the expected distance is sqrt((2*N)/pi)$\sqrt{\frac{2N}{\pi}}$. Which one is it and is it the same regardless of dimension?

Thanks

Can someone very simply explain to me how to compute the expected distance from the origin for a random walk in 1D, 2D, and 3D? I've seen several sources online stating that the expected distance is just sqrt(N) where N is the number of time steps, but others say that the expected distance is sqrt((2*N)/pi). Which one is it and is it the same regardless of dimension?

Thanks

Can someone very simply explain to me how to compute the expected distance from the origin for a random walk in $1D, 2D$, and $3D$? I've seen several sources online stating that the expected distance is just $\sqrt{N}$ where $N$ is the number of time steps, but others say that the expected distance is $\sqrt{\frac{2N}{\pi}}$. Which one is it and is it the same regardless of dimension?

Thanks

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Diego
Diego
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Expected Value of Random Walk

Can someone very simply explain to me how to compute the expected distance from the origin for a random walk in 1D, 2D, and 3D? I've seen several sources online stating that the expected distance is just sqrt(N) where N is the number of time steps, but others say that the expected distance is sqrt((2*N)/pi). Which one is it and is it the same regardless of dimension?

Thanks