5. Suppose the cumulative distribution function of a random variable X is given by F(x)= = if x < 0 1x if 0 < x < 1 { } if x 1. (a) Is X a discrete random variable? Is X a continuous random variable? Why? (b) Compute P(X ≤ 0.5). (c) Compute P(X > 1/3). (d) Compute P(X = 0.5). (e) Compute P(X = 1). (f) Compute P(0 ≤ X ≤ 0.75). (g) Compute P(0.5 ≤ X < 1).