Question: According to a report published in May 2016, the average SAT score for 2016 was 1083, with a standard deviation of 193. For this exercise,

According to a report published in May 2016, the average SAT score for 2016 was 1083, with a standard deviation of 193. For this exercise, we will assume that the SAT scores follow a normal distribution (use 3 decimal places).

a) What is the probability that a student's SAT score is between 950 and 1200?

b) What is the value of the third quartile of the grades?

c) In a group of 5 students, what is the probability that at least 4 of them have obtained grades between 950 and 1200?

d) For a group of 10 students, what is the expected value of students scoring between 950 and 1200?

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