Answer
P( $x$ > 80) = 0.2266
Work Step by Step
To find P( $x$ > 80):
1) Convert $x$ = 80 to a z score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{80 - 74}{8}$
z = 0.75
2) Find P( z > 0.75)
= 1 - P(z < 0.75)
= 1 - 0.7734
= 0.2266
Therefore, P( $x$ > 80) = 0.2266