Let Y be a random variable with p(y) given in the table below. y 1 2 3 4 P(y) 0.4 0.1 0.2 0.3 (a) Give the distribution function, F(v). Be sure to specify the value of F(y) for all y, -00 < y < co, y< 1, 1sy< 2, F(y) = 2 sy< 3, 3 sy< 4, y 24 (b) Sketch the distribution function given in part (a). Fy) Fy) 10 1.0 10 10 0.8 0.8 08 0.8 0.6 0.6 0.6 6 0.6 04 0.4 04 0.4 - 0.2 02 0.2 0.2 3 3 4 1 2 3 4 2 4

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