Problem 2 A bag contains two white balls and one black ball. We draw two balls at random from the bag. (a) (b) What is the probability that the second draw is a white ball? What is the probability that there is one black ball among the two that are drawn? Let X be the number of white balls that are drawn. (c) (d) Find the probability mass function of X. Let F be the cumulative distribution function of X. Let Y = F(X). What is the distribution of Y?

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