I have a problem and I am really not sure how to process it.
We have 10 samples of 25 variables X~N(50,25). How many of these samples will have a variance of maximum 101?
$W = \frac{(n-1)S^2}{\sigma^2}$ ~ $\chi^2$ with (n-1) degrees of liberty. $$P(S^2 \leq b)$$ $$P( W \leq \frac{(n-1)b}{\sigma^2} ) $$
Are my first steps correct? At this point, I don't know what to do. Also, in the equations, i'm not sure which $n$ to take and what is $b$.
Thank you.