Normal probability distribution for SAT score
The distribution of scores on the SAT is in the order of normal with a mean of 500 and a standard deviation of σ = 100. For the population of students who have taken the SAT.
A. What percentage has SAT scores greater than 550?
B. What is the least amount SAT score needed to be in the highest 10% of the population?
C. If the state college only accepts students from the top 60% of the SAT distribution, what is the minimum SAT score needed to be accepted?