Answer
$P(x < 1000) = 0.0132$
Work Step by Step
Want to find $P( x < 1000)$
i) Convert 1000 to a z-score:
z = $\frac{x - \mu}{\sigma}$
z = $\frac{1000 - 1262}{118}$
z= -2.22
ii) $P(x < 1000) = P(z < -2.22) = 0.0132$ (Can be read directly off of the standard normal table)
