Question

The heights of a pediatrician’s 200 three-year-old females are approximately normally distributed with mean 38.72 inches and standard deviation 3.17 inches. The pediatrician wishes to determine the heights that;

a. The probability of heights of patients between 35 and 38 inches.
b. The probability of heights of patients more than 39 inches.
c. Find the height of a 3 year old female at the 20th percentile.
d. Find the heights of a 3 year old female at the middle 98 %.

Answer 1

mean=38.72 inches

standard deviation=3.17 inches

Answer 2

$a) \: 95 \\ \\ b)3 \\ c)5 \\ d)8$