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1. Roll a fair six-sided die 50 times and let X denote the average of the rolls. a) What is the probability that the

1. Roll a fair six-sided die 50 times and let X denote the average of the rolls. a) What is the probability that the average is between 3 and 4? b) How many times should you roll the die to be 95% certain the average will fall between 3 and 4?

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