Standard normal variate
Probability theory · Mathematics
Study notes
Q: Test scores are N(70, 8²). What proportion scores above 78? Z = (78-70)/8 = 1. P(X > 78) = P(Z > 1) = 1 - 0.8413 = 0.1587. About 15.9% score above 78. Below 62 (Z = -1): also 0.1587 by symmetry!