Heights of 20-year-olds. Heights of 20-year-old men vary approximately according to a Normal distribution with =

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Heights of 20-year-olds. Heights of 20-year-old men vary approximately according to a Normal distribution with μ = 176.9 cm and σ = 7.1 cm.

(a) What percentage of U.S. men are at least 6 feet tall? (Six feet ≈

183 cm.)

(b) Heights of 20-year-old women vary approximately according to a Normal with μ = 163.3 cm and σ = 6.5 cm. What percentage of U.S. women are at least 6 feet tall?

(c) Why does a 6-foot-tall woman appear unusually tall while a 6-

foot-tall man is barely out of the ordinary?

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