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I roll a six-sided die and observe the number N on the uppermost face. I then toss a fair coin N times and observe

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I roll a six-sided die and observe the number N on the uppermost face. I then toss a fair coin N times and observe X, the total number of heads to appear. (i) Write down the conditional probability mass function (ii) What is = 5)? (iii) What is E(X)?

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