Answer
0.2476
Work Step by Step
Let's find the z-scores for 110 and 140:
$z=\frac{X-μ}{σ}=\frac{110-100}{15}=0.67$
$z=\frac{X-μ}{σ}=\frac{140-100}{15}=2.67$
According to Table V, the area to the left of the standard normal curve for a z-score equal to 0.67 is 0.7486.
According to Table V, the area to the left of the standard normal curve for a z-score equal to 2.67 is 0.9962.
The area of the standard normal curve between the z-scores 0.67 and 2.67 is the difference between the area to the left of the standard normal curve for a z-score equal to 2.67 and the area to the left of the standard normal curve for a z-score equal to 0.67:
$0.9962-0.7486=0.2476$
