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OpenStax, Introductory Business Statistics 2e §6.3 Estimating the Binomial with the Normal Distribution · Exercise 27 · Statistics · Normal distribution

Estimating the Binomial with the Normal Distribution · Exercise 27

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 over 72 inches? Explain why or why not, and justify your answer numerically.
(d) The middle 40% of heights fall between what two values? 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 27

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