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 u of X. C. Compute the standard deviation a of X.

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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 o of X.
Transcribed Image Text: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 o of X.
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