\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
We study a sample mean \(\overline{X}_n\) of \(n\) independent random variables with variance \(V=10\).
For \(n=1000\) and a deviation threshold \(\delta=0.5\), calculate the concentration bound for the probability \(P(|\overline{X}_{1000}-\mu|\ge 0.5)\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.