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

Solution

as given the mean = 100

standard deviation = 14

we have to find the area x = 70

For x = 70, the z-value z = (70 - 100) /15 = -2

Hence P(x < 70) = P(z < -2) = [area to the left of -2] = 0.0228

hence the area = 0.0228