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Assume SAT scores are normally distributed with mean 1518 and standard deviation 325. a) If one SAT score is randomly selected, find the probability that

Assume SAT scores are normally distributed with mean 1518 and standard deviation 325.

a) If one SAT score is randomly selected, find the probability that it is between 1440 and 1480.

b) If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480.

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

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