IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one Individual ts randomly chosen. Let X IQ of an individual
(a) Find the 2-score for an IQ of 116, rounded to three decimal places.
(b) Find the probability that the person has an IQ greater than 116.
(C) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z.
score. Use your 2-score from part (a), rounded to one decimal place).
Shade: Left of a value
Click and drag the arrows to adjust the values.
4
3
-2
0
1
2.
3
4
1 -}
-1.5
(d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ
needed to qualify for the MENSA organization.