1. Let X be a discrete random variable with the following PMF for x = 0.2 for x = 0.4 for x = 0.5 for x = 0.8 for x = 1.0 otherwise Px(x) = (0.1 0.2 c. Find P(0.25 < X < 0.75) d. Find P(X = 0.2|X < 0.6) 0.2 0.3 0.2 0 Find Ry, the range of the random variable X. b. Find P(X ≤ 0.5)