6. (a) Suppose you draw all 52 cards one at a time from a standard deck, without replacement, and record their colors. Let Y be the total number of times that you see the sequence R.B (i.e. a red card followed by a black card). What is P(Y = 0)? (b) What is E(Y )? (Hint: think of Y as a sum.) (c) Let Z be the number of times you see the sequence BR, and let X = Y - Z. What is the PMF of X? (Hint: think about the first & last cards drawn.)|