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. X ~ N    =    Part (b) Find the probability that the person has an IQ greater than 135. Write the probability statement. P  =      .   What is the probability? (Round your answer to four decimal places.) Sketch the graph.         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 =

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