Two cards are drawn randomly without replacement from an ordinary deck. Let X number of hearts and Y be the number of black cards obtained. (a) Write an expression for the joint PMF f(x, y) (b) Tabulate the joint PMF

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Two cards are drawn randomly without replacement from an ordinary deck. Let X be the
number of hearts and Y be the number of black cards obtained.
(a) Write an expression for the joint PMF f(x, y)
(b) Tabulate the joint PMF
(c) Find the marginal PMF of X and Y
(d) Find P(Y = 1|X = 1)
(e) Tabulate P(X+Y < z) for all possible values of z
Transcribed Image Text:Two cards are drawn randomly without replacement from an ordinary deck. Let X be the number of hearts and Y be the number of black cards obtained. (a) Write an expression for the joint PMF f(x, y) (b) Tabulate the joint PMF (c) Find the marginal PMF of X and Y (d) Find P(Y = 1|X = 1) (e) Tabulate P(X+Y < z) for all possible values of z
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