High School

Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 534 and a standard deviation of 77. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score below 303.

Answer :

The Empirical Rule to estimate that about 0.15% of people taking the test score below 303.

The 68-95-99.7 Rule, also known as the Empirical Rule, states that for a normal distribution, about 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

In this case, the mean is 534 and the standard deviation is 77. So, one standard deviation below the mean is 534 - 77 = 457, two standard deviations below the mean is 534 - 2 * 77 = 380, and three standard deviations below the mean is 534 - 3 * 77 = 303.

Since a score of 303 is exactly three standard deviations below the mean, we can use the Empirical Rule to estimate that about 0.15% of people taking the test score below 303.

Learn more about standard deviation here:

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