Assuming that the heights of college women are normally distributed with mean 65

Question

Assuming that the heights of college women are normally distributed with mean 65 inches and standard deviation 3.4 inches, answer the following questions. (Hint: Use the figure below with mean and standard deviation .)

(a) What percentage of women are taller than 65 inches?
%

(b) What percentage of women are shorter than 65 inches?
%

(c) What percentage of women are between 61.6 inches and 68.4 inches?
%

(d) What percentage of women are between 58.2 and 71.8 inches?
%

Explanation / Answer

a) being symmetrical percentage of women are taller than 65 inches =50%

b) percentage of women are shorter than 65 inches =50%

c) as  61.6 inches and 68.4 inches are 1 std deviation away from mean.

percentage of women are between 61.6 inches and 68.4 inches =68%

d)percentage of women are between 58.2 and 71.8 inches : =95.0%

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