Scores on a standardized test form a normal distribution with = 300 with = 100.

a. What percentage of scores lie above X = 345?

b. What percentage of scores lie are below X= 375?

c. What percentage of scores lie between 465 and 640?

d. What percentage of scores lie between 274 and 465?

e. What percentage of scores lie between 156 and 233?

f. If the state college only accepts students who score in the top 60% on the SAT, what is

the minimum score needed to be accepted?

g. If the state college only accepts students who score in the top 10% on the SAT, what is

the minimum score needed to be accepted?