Question

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. graph shows 95

Answer 1

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = 100

Standard deviation = 15

X = 95

Area to the left of 95, P(X < 95) = P(Z < (95 - 100)/15)

= P(Z < -0.33)

= 0.3707

Area to the right of 95, P(X > 95) = 1 - 0.3707

= 0.6293

Note: Please select the value as per the shaded region in the graph. If shaded region is towards left of 95, answer is 0.3707 and if the shaded region is towards the right of 95, answer is 0.6393.