Question: The random variable X where Pr(X = 1) = 0.3, Pr(X = 2) = 0.3, and Pr(X = 3) = 0.4. Find the arithmetic and

The random variable X where Pr(X = 1) = 0.3, Pr(X = 2) = 0.3, and Pr(X = 3) = 0.4.
Find the arithmetic and geometric means of the above random variables. Check that the arithmetic-geometric inequality holds.

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