If x is a random variable, and random variable y is defined as follows, y = a + bx, then μ_y = |b| σ_x.

Name: If x is a random variable, and random variable y is defined as follows, y = a + bx, then μ y = |b| σ x .
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Question

Quizplus · Accepted Answer

The correct formula for the standard deviation of $y = a + bx$ is $\sigma_y = |b| \sigma_x$, not $\mu_y = |b| \sigma_x$. The given formula incorrectly uses the mean symbol ($\mu$) instead of the standard deviation symbol ($\sigma$).

If X Is a Random Variable, and Random Variable Y