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OpenStax, Introductory Business Statistics 2e §6.3 Estimating the Binomial with the Normal Distribution · Exercise 28 · Statistics · Normal distribution

Estimating the Binomial with the Normal Distribution · Exercise 28

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.

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OpenStax, Introductory Business Statistics 2e · §6.3 Estimating the Binomial with the Normal Distribution · Exercise 28

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