A random variable X follows a discrete distribution with support x = {−1,0, 1,2,3} and probability mass function (PMF) tabulated below: Value Probability −1 1/4 0 1/8 1 2 1/6 ? 3 1/6 (a) What is the probability that X is nonnegative? (b) Given that X is nongenative, what is probability that X ≥ 2? = (c) Define Y X2. Determine the probability mass function (PMF) of Y. Compute E(Y) either by definition of expectation or by LOTUS (Law of the Unconscious Statistician).

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