Consider the following probability functions for a random variable X: Value (mu - k sigma) Prob (1/2k^2) Value (mu) Prob 1-(1/k^2) Value ( mu + k sigma) Prob (1/2k^2) where mu,k,and sigma are constants. Find E(X) and V(X). Investigate the manner in which this random variable satisfies the Chebyshev Inequality and comment.
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