Answer
P( $x$ < 55) = 0.0088
Work Step by Step
To find P( $x$ < 55):
1) Convert $x$ = 55 to a z score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{55 - 74}{8}$
z = -2.375
2) Find P( z < -2.375)
= 0.0088
Therefore, P( $x$ < 55) = 0.0088