Question

Heights of men in the United States approximately normally distributed with a mean of 70 inches and a standard deviation of 2.5 inches. What is the probability that randomly selected men will be taller than 75 inches

Answer 1

Answer:

0.0228

Step-by-step explanation:

Given that $\mu=70, \sigma=2.5$

-Let X be the height of the randomly selected man.

-The probability that X>75 inches is calculated as:

$P(X>75)=P(z>\frac{X-\mu}{\sigma})\\\\=P(z>\frac{75-70}{2.5})\\\\=P(z>2)\\\\\therefore P(X>75)=1-P(X$

Hence, the probability that a random pick is taller than 75 inches is 0.0228