MCAT scores have an approximate normal distribution with mean at 500 and standard deviation 10.6. Use StatCrunch or TI83/84 to find the following probabilities.

a. What percent of students get scores over 510?

b. What percent of students get scores under 480?

c. What percent of students get scores between 480 and 520?

d. What is the Z-score of a MCAT score of 530?Based on the Z-score, is this an unusual score? Explain your answer.

e. If 9 test takers are randomly selected,what is the mean for the sample mean distribution?

f. If 9 test takers are randomly selected,what is the standard error for the sample mean distribution?

g. If 9 test takers, find the probability that the group has a MCAT score average above 507.