Question

Finding mu for a particular z value? Photo attached.

Answer 1

\[
z= \frac{x-\mu}{\sigma} \implies x = z\sigma + \mu
\]

Answer 2

and my x has to be greater than mu, correct?

Answer 3

In this case, we can tell \(z>0\) because \(97.5\% >50\%\) and we know \(\sigma > 0\) so we can expect \(x>\mu\).

Answer 4

Thanks. I got it now. I was finding for mu instead of X, ...