Suppose a pair of dice is rolled let x be the total number


Question: Suppose a pair of dice is rolled. Let X be the total number of spots which turn up. Roll the pair an additional X times. Let Y be the number of sevens that are thrown on the X rolls. Determine the joint distribution for the pair {X; Y} and from this determine the marginal distribution for Y. What is the probability of three or more sevens?

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Basic Statistics: Suppose a pair of dice is rolled let x be the total number
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