3) If scores on the math section of the SAT test are normally distributed with a...

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3) If scores on the math section of the SAT test are normally distributed with a mean l = 500 and standard deviation o = 100 , then a) (3 pts) What is the 95th percentile? b) (3 pts) What is the probability that a test selected at random will have a score of exactly 740? c) (3 pts) What is the probability that a test selected at random will have a score between 550 and 650? d) (3 pts) If 16 tests are selected at random, what is the probability that the average score of the 16 test sample will be greater than 570? 3) If scores on the math section of the SAT test are normally distributed with a mean l = 500 and standard deviation o = 100 , then a) (3 pts) What is the 95th percentile? b) (3 pts) What is the probability that a test selected at random will have a score of exactly 740? c) (3 pts) What is the probability that a test selected at random will have a score between 550 and 650? d) (3 pts) If 16 tests are selected at random, what is the probability that the average score of the 16 test sample will be greater than 570?