IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. Part (a) Give the distribution of X. Part (b) Find the probability that the person has an IQ greater than 115. Write the probability statement. What is the probability? (Round your answer to four decimal places.) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = What is the minimum IQ? (Round your answer to the nearest whole number.) x = Sketch the graph. 0.025 0.020 0.015 0.010 0.005 0.025 0.020 0.015 0.010 0.005 X 60 80 100 120 140 0.025 0.020 0.015 0.010 0.005 0.025 0.020 0.015 0.010 0.005 X 60 80 100 120 140 Part (d) The middle 70% of IQs fall between what two values? Write the probability statement. P(x1