Explore BrainMass
Share

# Probability calculations using Normal Distribution

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The IQ for adults is 100 and the standard deviation is 16.

a. What percentage of people have an IQ greater than 140?

b. What percentage have IQ's between 100 and 140?

c. SmartPeople is an organization that only admits people with IQ's in the top 98 percentile. What IQ score would a person need to be a member of SmartPeople?

https://brainmass.com/statistics/probability/statistics-probability-calculations-using-normal-distribution-235272

#### Solution Preview

The IQ for adults is 100 and the standard deviation is 16.

We assume that the distribution for intelligence is normally distributed and use the standard normal distribution tables for calculating the probabilities.

a. What percentage of people have an IQ greater than 140?

Mean=M = 100
Standard deviation =s= 16
x= 140
z=(x-M )/s= ...

#### Solution Summary

This solution provides a detailed, step by step solution to the given statistics problem.

\$2.19