A set of college student heights are normally distributed with a mean of 170.4 centimeters and a standard deviation of 10 centimeters.

Question

What proportion of student heights are between 145 centimeters and 171centimeters?

Answer 1

Prob ( 145 < x < 171) =

Prob ( (145 - 170.4)/10 < z < (171-170.4)/10 ) =

Prob ( -2.54 < z < 0.14) =

Prob ( z < 0.14) - Prob ( z< -2.54) =

0.550127