If two variates X and Y are connected by the relation , where a, b, c are constants such that ac

Question

If two variates X and Y are connected by the relation , where a, b, c are constants such that ac < o, then

Philoid · Accepted Answer

Given,

To Find: Write the expression for the standard deviation of Y.

Explanation: We have

Mean (y) =

We can write as: Mean (y) =

Mean (y) =

Var(X) =

Then, Var(Y) =

Now, Substitute the value of y_iand Y, then we get