99.7% of the people taking the GRE test would score between 92 and 980
The 68-95-99.7% Rule states that for a normal distribution, about 68% of the values fall within one standard deviation from the mean, 68% of the values fall within two standard deviation from the mean and 99.7% of the values fall within three standard deviation from the mean
Given mean of 536 and a standard deviation of 148. Hence:
99.7% of the values fall within three standard deviation from the mean = 536 ± 3(148) = (92, 980)
99.7% of the people taking the GRE test would score between 92 and 980
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