- Suppose \( X \) is normal with mean 8.0 and standard deviation 5.0- Find \( P(X< 8.6) \)
\(P(X<8.6) = P(Z<0.12)\)
Step 1 :\(Z = \frac{X - \mu}{\sigma}\)
Step 2 :\(Z = \frac{8.6 - 8.0}{5.0}\)
Step 3 :\(P(X<8.6) = P(Z<0.12)\)