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(5 marks] A game is to be played by first flipping a fair coin, and then drawing balls without replacement from a bin. If you

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(5 marks] A game is to be played by first flipping a fair coin, and then drawing balls without replacement from a bin. If you flip heads you get to draw one ball, and If you flip tails you get to draw three balls. The bin contains 8 red balls, and 5 green balls. Let W = 2\" 3 be your win amount, where R represents the number of red balls drawn. What Is the variance of W

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