If X and y are two variates connected by the relation Y-a X-b-c and VarX- sigma - 2 - then wrote the expression for the standard deviation of Y-

Here, Y =aX+b/c = a/c X + b/c Therefore , var(Y) = a^2/c^2[var (X)] + a^2 σ ^2/c^2 S. D = | a/c |σ ...

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Standard Deviation

If X and y ar...

Question

If X and y are two variates connected by the relation $Y = \frac{a X + b}{c}$ and Var(X) = \sigma ^2\), then wrote the expression for the standard deviation of Y.

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Y = \frac{a X + b}{c}

Y = \frac{a X + b}{c}

σ_{Y} = \frac{a}{c} σ_{X}

σ_{Y} = - \frac{a}{c} σ_{X}

σ_{Y} = \frac{a}{c} σ_{X} + b

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