# Normal Probability: Height of 10 year old boys

Height of 10 year kid boys. We've established that heights of 10 year old boys vary according to a normal distribution with a mean= 138 centimeters and standard deviation =7 centimeters.

a) What proportion of this population is less than 150 centimeters tall?

b.) What proportion is less than 140 centimeters in height?

c) What proportion is between 150 and 140 centimeters tall?

See attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 10:37 pm ad1c9bdddfhttps://brainmass.com/statistics/probability/normal-probability-height-year-old-boys-347189

#### Solution Preview

Please see the attachments.

Height of 10 year kid boys. We've established that heights of 10 year old boys vary according to a normal distribution with a mean= 138 centimetres and standard deviation =7 centimetres.

Answers

Let X be the ...

#### Solution Summary

The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.