Answer:
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 500 and the standard deviation is 100.
95% of the scores of students would fall within two standard deviations.
2 standard deviations = 2 × 100 = 200
500 - 200 = 300
500 + 200 = 700
Therefore, the probability that a randomly selected student math score is between 300 and 700 is
95%
