For random variables, x and y, if y = a + bx, then σ_y = a + bσ_x.

Name: For random variables, x and y, if y = a + bx, then σ y = a + bσ x .
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The correct formula for the standard deviation of $y = a + bx$ is $\sigma_y = |b|\sigma_x$. The addition or subtraction of a constant (a) does not affect the standard deviation, only multiplication or division by a constant (b) does, and it does not include adding or subtracting a constant to/from the standard deviation itself.

For Random Variables, X and Y, If Y = a