Suppose that a bowl contains 100 chips: 30 are labelled 1, 20 are labelled 2, and 50 are labelled 3. The chips are thoroughly mixed, a chip is drawn, and the number X on the chip is noted.
(a) Compute P(X = x) for every real number x.
(b) Suppose the first chip is replaced, a second chip is drawn, and the number Y on the chip noted. Compute P(Y= y) for every real number y.
(c) Compute P(W = ω) for every real n ω when W =X + Y