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QUESTION

Let X be the number showing on a fair six-sided die. The distribution of X has mean 3.5 and standard deviation 1.

Let X be the number showing on a fair six-sided die.  The distribution of X has mean 3.5 and standard deviation 1.71.  

If a six-sided die is rolled 30 times, what is the probability that the average of all 30 rolls is less than 3?

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