Answer to Question #313684 in Statistics and Probability for Shang

Question

The height of SHS is normally distributed with a mean of = 150 cm and a standard deviation of = 10 cm.

a) Sketch a normal curve that describes this distribution.

b) Approximately what percent of these students have a height greater than 170 cm?

Answer 1

a)

b)

$\mu=150,\sigma=10$

$P(X>170)=1-P(X<170)$

$=1-P(Z<\frac{170-150}{10})=1-P(Z<2)$

$=1-0.9772=0.0228$

$=2.28$ %