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David draws with replacement from a bag containing 1 red and 2 black balls. (a) If...

David draws with replacement from a bag containing 1 red and 2 black balls.

(a) If David draws 5 balls total what is the expected number of red balls drawn?

(b) If David draws 5 balls total what is the variance of the number of red balls drawn?

(c) If N is the number of draws until David has selected 200 black balls, compute E [N].

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