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Assume the heights of women are normally distributed with a mean of 65 inches and a std deviation of 3.5 inches. The US marine Corps requires that the heights of men be between 60 to 80 inches.
a.) What is the probability that a woman has a height between 60 and 80 inches
b.) If 400 women want to enlist in the US Marine Corps, how many would you expect to meet the height requirements
Male heights are normally distributed with a mean score of 70 inches and a std deviation of 4 inches
a.) What is the lowest score that would still place a student in the top 15% of scores
b.) What is the highest score that would still place a person in the bottom 20% of scores
c.) If a sample of 9 males is taken what is the probability that the mean score will be 74 inches or more?
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