Find the area of the shaded region The graph to the right de

Find the area of the shaded region. The graph to the right depicts IQ scores of? adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. The two shaded areas are 108 and 130

6.3.8-1 Question Help Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 108 130 The area of the shaded region is (Round to four decimal places as needed.)

Solution

mean = 100

standard deviation = 15

Area of the shaded region is given by

P[Z < (130 - 100)/15] - P[Z < (108 - 100)/15]

= P[Z < 2] - P[Z < 0.53]

= 0.9772 - 0.7031

= 0.2742