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    Normal distribution problem: women's height in military

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    In this exercise, use this information (based on data from the National Health Survey):
    - Women's heights are normally distributed with mean 63.6 in. and standard deviation 2.5 in.
    Height Requirement for Women Soldiers The U.S. Army requires women's heights to be between 58 in. and 80 in. Find the percentage of women meeting that height requirement. Are many women being denied the opportunity to join the Army because they are too short or too tall?

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    Solution Preview

    Let X denote the height of women, which is a normal random variable
    P(58<X<80)=P{ (58-63.6)/2.5 < Z < ...

    Solution Summary

    The height requirements for women's soldiers the U.S. Army requires is discussed. The solution determines if women are being denied the opportunity to join the army because they are too short or too tall.