Answer
$P(x > 160)$ $= 0.2296$
Work Step by Step
$\mu$ = 138.5, $\sigma$ = 29
Want to find $P( x > 160 )$
i) Convert 160 to a z-score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{160 - 138.5}{29}$
z= 0.74
ii) $P(x > 160) = P(z > 0.74)$
$P(z > 0.74)$
$= 1 - P( z < 0.74)$
$= 1- 0.7704$
$= 0.2296$
