# Math Help - Tough Problem!

1. ## Tough Problem!

Dear Friends

I would highly appreciate it if you could help me with this complex problem.

<<Attached File (only 3.6KB)>>

X has normal distribution , alpha is a determinestic value -different for each sample- and K (number of samples) is too large.

Best regards

2. I don't understand the subscript to the Y, and is $\alpha=\eta$?
It looks like you have a noncentral $\chi^2$

3. ## Clarification

Dear matheagle
Y is a Random Variable (RV) as X, thus, For each sample there is different Yi. ALPHAs are determinestic values, different for each sampling time and are not equal to Mean value.
Finally, As you mentioned, it may chi-squared distribution we face with.
I don't understand the subscript to the Y, and is $\alpha=\eta$?</P>
<P>It looks like you have a noncentral $\chi^2$