Answer to Question #311926 in Statistics and Probability for Oodi

Question

Five hundred children participated in a field demonstration. Their heights averaged is 110 cm with a standard deviation of 6 cm. What is the probability that the height of a child picked at random is less than 104cm?

Answer 1

$\mu=110,\sigma=6$

$P(X<104)=P(Z<\frac{x-\mu}{\sigma})$

$=P(Z<\frac{104-110}{6})=P(Z<-1)$

$=0.1587$