Answer:
The percentage of people taking the test who score between 391 and 767 is 95%.
Step-by-step explanation:
The Empirical Rule(68-95-99.7 Rule) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 579
Standard deviation = 94
391 = 579 - 2*94
So 391 is two standard deviations below the mean.
767 = 579 + 2*94
So 767 is two standard deviations above the mean.
By the Empirical Rule:
The percentage of people taking the test who score between 391 and 767 is 95%.
