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IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ

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 write

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.

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