Answer
$P(X\gt150)=0.0004$
Work Step by Step
Let's find the z-score for 150:
$z=\frac{X-μ}{σ}=\frac{150-100}{15}=3.33$
According to Table V, the area to the left of the standard normal curve for a z-score equal to 3.33 is 0.9996.
But, we want the area to the right (she scores above 150) of the standard normal curve for a z-score equal to 3.33:
$1-0.9996=0.0004$
