20. IQ is normally distributed with a mean of 125 and a standard deviation of 20. Suppose one individual is randomly chosen. Let X = IQ of an individual. Define the distribution for X. (2 points) b. Find the probability that the person has an IQ greater than 140. Include a sketch of the graph, and write a probability statement. (7 points) MENSA is an organization whose members have the top 3% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. Sketch the graph, and write the probability statement. (7 points) d. The middle 55% of IQs fall between what two values? Sketch the graph and write the probability statement. (7 points)