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Two fair dice are rolled at once let x denote the

Question: Two fair dice are rolled at once. Let X denote the difference in the number of dots that appear on the top faces of the two dice. Thus for example if a one and a five are rolled, X = 4, and if two sixes are rolled, X = 0.

a. Construct the probability distribution for X.

b. Compute the mean μ of X.

c. Compute the standard deviation σ of X.

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Basic Statistics: Two fair dice are rolled at once let x denote the

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