In recent years, scores on the verbal portion of the GRE have had a mean of 467 and standard deviation of 118 a If the distribution is normal, about what proportion of verbal scores fall (i) below 500 and (ii) above 500 b If the distribution is normal, of those who scored above 500, about what prop...

In recent years, scores on the verbal portion of the GRE have had a mean of 467

Question:

In recent years, scores on the verbal portion of the GRE have had a mean of 467 and standard deviation of 118.
a. If the is normal, about what proportion of verbal scores fall (i) below 500 and (ii) above 500?
b. If the is normal, of those who scored above 500, about what proportion scored above 600?
c. A group of 30 students forms a study group to prepare for the exam. If they are a random sample of the students taking the exam, would it be surprising if the mean of their scores equals 600? Why?
d. In fact, the verbal GRE is not normal but is slightly skewed right. Does this affect your answer in part c? Why or why not?
e. In recent years, 15% of the verbal scores and 53% of the quantitative scores have been above 600. If performance on the two exams is independent, find the percentage of test-takers who scored above 600 both on the verbal exam and on the quantitative exam.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...