Question
If $p_{1}, p_{2}, \ldots, p_{n}$ are nonnegative numbers that sum to $1,$ show that $\sum_{k=1}^{n} p_{k}^{2} \geq \frac{1}{n}$
Step 1
This can be written as $\sum_{k=1}^{n} p_{k} = 1$. Show more…
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