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Calculate the mean and variance for (a) the sum of 100 fair die rolls (b) the product of 100 fair die rolls. (Clearly quote any

Calculate the mean and variance for

(a) the sum of 100 fair die rolls

(b) the product of 100 fair die rolls.

(Clearly quote any used properties of the random variables that you define, explaining why you are allowed to use the properties for this particular problem.)

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