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Assume that SAT scores are normally distributed with mean and standard deviation . a) If one SAT score is randomly selected, find the probability...

 and standard deviation

a)     If one SAT score is randomly selected, find the probability that it is between 700 and 1280. Round decimal to four places.

b)     If 16 SAT scores are randomly selected, find the probability that they have a mean score between 700 and 1280. Round decimal to four places.

c)      Why can the Normal distribution be used in part (b) even though the sample size does not exceed 30?

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