Scores on the mathematic section of the SAT reasoning test form a normal distribution with a mean of u= 500 and a standard deviation of 100.
a) If the state college only accepts students who score in the top 60% on the test, what is the minimum score needed for admission?
b) What is the minimum score necessary to be in the top 10% of the distribution?
c) What scores form the boundaries for the middle 50% of the distribution?