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Math · Statistics And Probability
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Discrete Math question. Please show all steps and proofs! Thanks.

Question 3: Assume we flip a fair coin twice, independently of each other. Define the following random variables: X the number of heads. the number of tails Z the number of heads times the number of tails. Determine the expected values of these three random variables. Show your work. Are X and Y independent random variables? Justify your answer. Are X and Z independent random variables? Justify your answer. Are Y and Z independent random variables? Justify your answer.

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