somewhere near the beginning.

Another maybe truth, about binomial variables

Filed under: Mathematics — Alex @ 4:08 pm 7/23/2008

I noticed that \mathbb{E} \sqrt{\text{Bin}(n,1/2)} is approximately the same as \sqrt{\mathbb{E}\text{Bin}(n,1/2)} = \sqrt{\frac{n}{2}} . Is there a known proof (or am I just seeing things again)?

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