Scores on a standardized test form a normal distribution with = 200 with = 100.

a. What percentage of scores lie below X = 50?

b. What percentage of scores lie are higher than X= 286?

c. What percentage of scores lie between 220 and 499?

d. What percentage of scores lie between 95 and 176?

e. What percentage of scores lie between 176 and 220?

f. If the state college only accepts students who score in the top 65%, what is the minimum score needed to be accepted?

g. If the state college only accepts students who score in the top 15%, what is the minimum score needed to be accepted?