The SAT is an entrance exam used by most colleges and universities to make admissions decisions. There are two required SAT sections: Math and Evidence-Based Reading and Writing. The SAT total scores of high school students in the class of 2019 who took the SAT during high school has a mean of 944 and a standard deviation of 180. Suppose that these SAT total scores follow an approximately normal distribution. 1) Find the proportion of high school students in the class of 2019 who had SAT total scores above 1400. 2) Find the 90th percentile of the SAT total scores of high school students in the class of 2019. 3) For a random sample of ten high school students in the class of 2019, find the probability that exactly one of them had a SAT total score above 1400. T