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Expectation and Variance : Rolling dice and then flipping a coin.

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1. (a) Roll a 6-sided die and then flip a coin the no. of times shown by the die. Letting Y be the no. of these flips coming up heads. What is E[X] and var(X)?
(b) Repeat part a assuming first rolling two dice.

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Expectation and variance of rolling dice and then flipping a coin are investigated. The solution is detailed and well presented.

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