If the random variable Y = a + bX,then μ_Y = a + bμ_X.

Name: If the random variable Y = a + bX,then μ Y = a + bμ X .
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Quizplus · Accepted Answer

This is true by the linearity of expectation. The expected value of a constant (a) is a, and the expected value of a constant times a random variable (bX) is b times the expected value of that random variable (μX). Thus, μY = μ(a + bX) = μa + μ(bX) = a + bμX. This can also be written as μ_Y = a + bμ_X.

If the Random Variable Y = a + BX,then μY

If the Random Variable Y = a + BX,then μ_Y