The test scores of an entrance examination are normally distributed with a mean $230$ and standard deviation $80$, the cutoff for admission was $310$ what % of examinees got admission, further, the upper $2$% received scholarships, what is the minimum score to get a scholarship?
Let our random variable be the score of a student got. Now first i need to find $P(X>310)$ i.e \begin{align} P(Z>1)= &1-P(Z\le1)\\ &= 1-0.8413\\ &= 0.1587 \\ \end{align} Now I'm stuck here how do i find the minimum score to get the scholarship?