If X and Y are two variates connected by the relation and , then write the expression for the standard deviation of Y.

Question

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) =

But, Var(X)=

Then, Var(Y) =

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

Hence, Proved