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.

a. X________(_______,_______)

b. Find the probability that the person has an IQ greater than 120. Include a sketch of the graph and draft a probability statement.

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. Sketch the graph and write the probability statement.

d. The middle 50% of IQs fall between what two values? Sketch the graph and write the probability statement.

Please be sure to include graphs or charts used to find the values used in your calculations with your problem submittals.