Unformatted text preview: 1 / 2. Let A = “there is at most 1 girl” B = “the family has children of both sexes.” (a) Are A and B independent? (b) Are A and B independent if the family has 4 children? 1.5. Roll two dice. Let A = “the sum is even” and B = “the sum is divisible by 3,” that is B ∈ { 3 , 6 , 9 , 12 } . Are A and B independent? 1.6. Suppose we roll three tetrahedral dice that have 1, 2, 3, and 4 on their four sides. Find the distribution of the sum of the three numbers....
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 Fall '08
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 Math, Applied Mathematics, Probability, Optimization, Probability theory, Texas A&M University Department of Mathematics Volodymyr Nekrashevych

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