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  3. 6 assume you have a typical 6sided die that is...

Question: 6 assume you have a typical 6sided die that is...

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6. Assume you have a typical 6-sided die. That is to say, it has sides 1, 2, 3, 4, 5, 6 and each side has probability of of occurring. You are to roll the die twice, and record the maximum, M, of the two rolls. If you roll a 2 and a 3 (or a 3 and a 2), then M 3. If you roll a 4 and a 4, then M-4 6 (a) Derive the probability mass function of M (hint: M can equal 1, 2, 3, 4, 5, 6) (b) Find E[M] c) Find E2 (d) Use your answers from part b and c to find VAR ME](EM)

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