Answer
$P(x > 22)$ = 0.1587
Work Step by Step
$\mu$ = 21, $\sigma$ = 1
Want to find $P(x > 22)$:
1) Convert 22 to a z-score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{22 - 21}{1}$
z= 1
2) $P(x > 22) = P(z > 1)$
$P(z > 1) = 1 - P(z < 1) = 1-0.8413 = 0.1587$
Therefore, $P(x > 22)$ = 0.1587
