The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard deviation of 100. Using the empirical rule, what is the probability that a randomly selected student's math score is between 300 and 700? Express your answer as a decimal.

Question

Mathematics

Frida Watkins

12 October, 12:58

The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard deviation of 100. Using the empirical rule, what is the probability that a randomly selected student's math score is between 300 and 700? Express your answer as a decimal.

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Hannah Contreras · Answer 1

Since the range of the scores given was between 300 and 700 (which is 2 standard deviations below and above the mean), the probability that a randomly selected student's math score - as based on the empirical rule of statistics - is 95%. In decimal form, it is. 95.