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The navy requires fighter pilots be between 62 and 78 inches tall. Women’s heights have a...

The navy requires fighter pilots be between 62 and 78 inches tall. Women’s heights have a
mean of 63.8 inches with a standard deviation of 2.6 inches.
a) What percentage of women are not qualified to be fighter pilots because they are too short?
b) What percentage of women are not qualified to be fighter pilots because they are too tall?
c) If the navy changes the height requirements so that only the shortest 2% and tallest 2% of
women are excluded, what would be the new height requirements?

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