# Normal Distribution Probabilities

**Question description**

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

with a mean of μ** _{X}**
= 1518 and a standard deviation of σ

**= 325.**

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

What is the Prob( X_{i }> 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( x̄ > 1,600)

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