Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 x 2 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 q. Find the conditional distribution of f(x), P(Y=2|X= 1). r. Find the conditional distribution of f(x), P(Y=2|X=2). s. Find the conditional distribution of f(lx), P(Y = 2 | X = 3).

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