Problem 3.26 Let the random variable Y have the distribution function F(y) defined by: F(y)=0,y < −1 F(y)=0.2, −1 ≤ y < 0 F(y)=0.5, 0 ≤ y < 1 F(y)=0.8, 1 ≤ y < 3 F(y)=1, y ≥ 3 Compute:

(a) E(Y )

(b) E(Y 2)

(c) V (Y )