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Mathematics, 24.10.2021 01:00 mykamorrow

2. Consider a box containing 3 red balls and 7 white balls. Suppose that balls are drawn one at a time, at random, without replacement from this box until two red balls are obtained. Let X denote the number of the draw on which the second red ball is obtained. a) Find the probability mass function (p. m.f.) of X. b) Find the expected value of X. c) Find the expected value of X2 . d) Find the variance of X.

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