Question

What percent of kindergarten children are between 40 and 46 inches

tall?
Heights of kindergarten children are normally distributed. With a mean of 40 and a standard
deviation of 6 inches.

Answer 1

34%

Explanation:

-Given mean=40 and standard deviation=6

-Let X be the height of a random pick

-We apply the normal distribution formula to find the probability:

`P(40<X<46)=P((X-\mu)/(\sigma)<z<(X-\mu)/(\sigma))\\\\\\=P((40-40)/(6)<z<(46-40)/(6))\\\\=P(0<z<1)\\\\=0.84134-0.5000\\\\=0.34134`

`\approx0.34=34\%`

Hence, the probability is 34%