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Suppose the cumulative distribution function of a random variable X is given by F(x) = 0 if x<0
= 0.5x if 0<=x<1
= 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) ComputeP(0.5≤X<1).
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