A continuous random variable Y has cdf
F(y) = a + ay / 2, − 2 < y < 0
1− be− cy 3 , y > 0
(a)Sketch the cdf when a = 1/2, b = 1/2 and c = 1.(b) Find P(Y > −1| Y < 1) when a = 1/2, b = 1/2 and c = 1.
Then derive Y's pdf generally, and sketch it when a = 1/2, b = 1/2 and c = 1.
Finally, write down the range of possible values for a, b and c.