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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?