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The SAT scores follow a normal distribution. The mean SAT score is 1200 and standard deviation 100. (a) What is the probability of observing a

The SAT scores follow a normal distribution. The mean SAT score is 1200 and standard deviation 100.

(a) What is the probability of observing a score between 1000 and 1200?

(b) What is the probability a randomly selected student will have a score more than 1300?

(c) If 80% of students scored less than me and 20% score more than me, what is my score on the SAT?

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