Question: Prob. 4 Consider a random variable X that has the following probability mass function: X P(X = x) -2 1/5 -1 1/5 0 1/5

Prob. 4 Consider a random variable X that has the following probability mass function: X P(X = x) -2 1/5 -1 1/5 0 1/5 1 1/5 2 1/5 (a) Find the first two moments of the random variable X, i.e., E (X) and E(X), respectively. (b) Find constant a that minimizes E[(X - a)2]. (c) What is the minimum value of E[(X - a)2]?

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