Answer
$P(x > 1650) = 0.0401$
Work Step by Step
$\mu$ = 1550, $\sigma$ = 57
Want to find $P( x > 1650 )$
i) Convert 1650 to a z-score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{1650 - 1550}{57}$
z= 1.75
ii) $P(x > 1650) = P(z > 1.75) = 1 - P( z < 1.75) = 1- 0.9599 = 0.0401$
