Question: A random variable X takes values 1, 0, and 2, with respective probabilities 0.2, 0.3, and 0.5. Find the mgf of X. Use the mgf

A random variable X takes values −1, 0, and 2, with respective probabilities 0.2, 0.3, and 0.5. Find the mgf of X. Use the mgf to find the first two moments of X.

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