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The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE

The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 9.8. (Source: http://www.ets.org/.) A graduate school requires that students score above 160 to be admitted.

What proportion of combined GRE scores can be expected to be between 150 and 165? Take your answer out to FOUR DECIMAL PLACES.

What is the probability that a randomly selected student will score over 160 points? Take your answer out to FOUR DECIMAL PLACES.

What proportion of combined GRE scores can be expected to be between 120 and 150? Take your answer out to FOUR DECIMAL PLACES.

What is the minimum score you would need in order to be in the top 5% of test takers?

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