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In: Statistics and Probability

9. The heights of a population of 100,000 men are normally distributed with a mean of...

9. The heights of a population of 100,000 men are normally distributed with a mean of 68 inches
and standard deviation of 3. About how many men have heights
(a) below 64 inches?
(b) above 74 inches?
(c) between 62 and 74 inches?

10. Assume that the scores on the Graduate Record Exam (GRE) are normally distributed with a
mean of 500 and a standard deviation of 115.
(a) Find the percentage of students who scored at least 600.
(b) A graduate school requires a GRE score in the 95th percentile for admission. What actual
score is required?

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