normal distribution probabilities

For the next two questions assume that X = SAT test scores have a normal distribution

with a mean of μX = 1518 and a standard deviation of σX = 325.

a) What is the probability that one person’s score is greater than 1,600.

What is the Prob( Xi > 1,600 )?

b)  What is the probability that the average/mean score from a group of n=64 test

takers is greater than 1,600.  What is the Prob( xÌ„ > 1,600)

 
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