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Let Y denote the number of “sixes” that occur when two dice are tossed. (Each of...

Let Y denote the number of “sixes” that occur when two dice are tossed. (Each of these dice has six sides with one, two, three, four, five, and six dots respectively. Note that the random variable is not the number of dots).

(a) When two dice are tossed, how many outcomes are possible? Write out these outcomes. (Hint: your outcomes should correspond to the number of 6s since that is the random variable here.)
(b) Derive the probability distribution of Y and present your answer in a table. (i.e. list all the outcomes and list the probability of each of these outcomes next to it; hint: probabilities have to sum to 1).

(c) Derive the mean of Y and derive the variance of Y. Show your work for credit.

Math   Statistics-And-Probability   
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above solution is correct with full explaination so please rate me high.

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