SOLUTION: Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 15 centimeters. About how many of these childre

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 15 centimeters. About how many of these childre      Log On


   



Question 745209: Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 15 centimeters. About how many of these children are shorter than 120 centimeters?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 15 centimeters. About how many of these children are shorter than 120 centimeters?
---------
z(120) = (120-150)/[15] = -2
---
P(x < 120) = P(z < -2) = normalcdf(-100,-2) = 0.023
------
# of children shorter than 120 cm is 0.023*200 = 5 when rounded up.
===============
Cheers,
Stan H.
===============