Find the area of the shaded region

Question

A graph depicts IQ scores of adults and those scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the area of the shaded region.... (between the IQ scores of 102 and 122)

Answer 1

z₁₂₂ = (122 - 100) / 15

z₁₂₂ = 22 / 15

z₁₂₂ = 1.466...

 

z₁₀₂ = 0.133...

 

Get a z-score chart and subtract the percentages.