Score distribution of SAT math portion is a normal distribution with an average of 540 and a standard deviation of 88. (a) About what proportion of the students have score of at least 600?

(b) About what proportion of the students’ scores are between 500 and 600?

(c) The UPW University is establishing a new scholarship, the minimum qualification is that students’ SAT math have to be among top 10%, what is the numerical SAT math score a student must have in order to be qualified?

(d) A state scholarship has a minimum SAT math score requirement of 600 or higher. You heard that Kelly is going to attend that scholarship recipients meeting, you are wondering mow: what is the chance that Kelly’s SAT math is lower than 650?

(e) If we randomly choose 20 students, what is the chance that at most 2 students have sat math score lower than 450?