Answer
Answer: 0.6179
Work Step by Step
To find P( $x$ > 71.6):
1) Convert $x$ = 71.6 to a z score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{71.6 - 74}{8}$
z = -0.3
2) Find P( z > -0.3)
= 1 - P( z < -0.3)
= 1 - 0.3821
= 0.6179
Therefore, P( $x$ > 71.6) = 0.6179