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Answer to Question #290175 in Statistics and Probability for Nana

Question #290175

There are two octahedral dice with faces marked 1 through 8. They are constructed such that the side 8 is 1.5 times as probable as the 2 through 7 and the sum of the probabilities of the 1 and the 8 equals that of the pairs on opposing faces. Let x be the sum of the faces when we roll the two dice.



Find the following:



a. Probability distribution of x



b. Mean of x



c. Variance of x

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