Let X be a discrete random variable with the following PMF: Px(x) = { 1/2 for x = 0 1/3 for x = 1 1/6 for x = 2 0 otherwise a. Find RX, the range of the random variable X. b. Find P(X ? 1.5). c. Find P(0 < X < 2). d. Find P(X = 0|X < 2)
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Step 1: Understand the given PMF (Probability Mass Function) The PMF of the discrete random variable X is given as follows: - \(P_X(x) = \frac{3}{3}\) for \(x = 0\) - \(P_X(x) = \frac{3}{3}\) for \(x = 1\) - \(P_X(x) = \frac{3}{3}\) for \(x = 2\) - \(P_X(x) = 0\) Show more…
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