Answer to Question #219961 in Statistics and Probability for taj

Question

mean height of 133 people is 155 cm stadard deviation is 15 how many persons are taller than 200cm

Answer 1

Given,

$n=133\\Mean\ \ \mu=155\ cm\\SD\ \ \sigma=15\\X=200\ cm$

Using Normal Distribution:

$z=\dfrac{X-\mu}{\sigma/\sqrt n}=\dfrac{200-155}{15/\sqrt{133}}=34.5976$

So, number of people who are taller than 200 cm is equal to

$P(X>200)=P(z>34.5976)\approx 0$

hence, from the population of 133 people, No one is taller than 200 cm