Scores on the Verbal Ability Portion of the Graduate Record $95 \%$

Short Answer

Scores on the verbal ability portion of the Graduate Record Examination (GRE) follow a normal distribution with mean 500 and standard deviation 115 .
a. Between what two values do the middle $95 \%$ of scores fall?
b. If your score is 650 , then you did better than what percentage of exam takers?
c. Suppose you study a random sample of 100 GRE verbal exams. Determine the probability that the average (mean) score in this sample will be between 485 and 515.