2. Prove that if X is a discrete random variable, a and b are constants, and Y = aX + b, then My (t) = ebt Mx (at). Then use this to establish relationships between the expected values and variances...

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Extracted text: 2. Prove that if X is a discrete random variable, a and b are constants, and Y = aX + b, then My (t) = ebt Mx (at). Then use this to establish relationships between the expected values and variances of X and Y.