Find the area of the shaded region The graph depicts IQ scor

Find the area of 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. On either side of the shaded region is 80 and 125. Round to 4 decimal places.

Solution

P(80 <X< 125) = P((80-100)/15 <(X-mean)/s <(125-100)/15)

=P(-1.33<Z<1.67)

=0.8608 (from standard normal table)