Find the z-score

Question

find the z-score if the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. 

(The shaded areas are between 80 and 110). 

The area of the shaded region is___ (round to four decimal places 

Answer 1

Hi Kate,

 

find z score of 80:

 

(80-100)/15 = -1.33

 

find z score of 110

 

(110-100)/15 = .67

 

p(-1.33<z<.67) = .7486 - .0918=.6568