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1. A certain standardized test has scores which range from 0 to 500, with decimal scores...

1. A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 301 and a standard deviation of 42.

What proportion of students taking the exam receive a score greater than 366?

Round your answer to 4 decimal places.

2.A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 304 and a standard deviation of 46.

What proportion of students taking the exam receive a score that is within 73 points of the mean?

Round your answer to 4 decimal places.

3.A certain standardized test has scores which range from 0 to 500, with decimal scores possible. Scores on the exam are normally distributed with a mean of 318 and a standard deviation of 45.

Find the percentile P87 for the scores of students taking the exam.

Round your answer to 2 decimal places.

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