Question: Consider a random variable X with the following probability distribution: 1/2 for k = 0, P(X = k) = { 1/3 for k =

Consider a random variable X with the following probability distribution: 1/2 for

Consider a random variable X with the following probability distribution: 1/2 for k = 0, P(X = k) = { 1/3 for k = 1, 1/6 for k = 2. |(a) Find Range(X). (b) Draw a histogram for the probability distribution above. Then find the following numbers: (c) P(X > 1.5); (d) P(0 < X < 3); (e) E(X); (f) P(X = 0|X < 2).

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