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OpenStax, Statistics §6.2 Using the Normal Distribution · Exercise 23 · Statistics · Normal distribution

Using the Normal Distribution · Exercise 23

According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.

(a) X ~ _____ (_____,_____)
(b) Find the probability that the person is between 65 and 69 inches. Include a sketch of the graph, and write a probability statement.
(c) Would you expect to meet many Asian adult males taller than 72 inches? Explain why or why not, and numerically justify your answer.
(d) The middle 40 percent of heights fall between what two values? Sketch the graph, and write the probability statement.

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OpenStax, Statistics · §6.2 Using the Normal Distribution · Exercise 23

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