0
$\begingroup$

If Y is a random variable with a mean $\mu$ and a standard deviation, $\sigma$, how do I calculate W if W = 2Y? Is it just $2\mu$ and $2\sigma$?

$\endgroup$
  • $\begingroup$ Do you know properties like linearity of expectation? $\endgroup$ – Lucien Oct 27 '13 at 17:53
  • $\begingroup$ No. But from what I understand below, all that was said was that the constant can be taken out of the formula. Is that all that changes? $\endgroup$ – daniella Oct 27 '13 at 18:15
0
$\begingroup$

E(X) = mu

E(W) = c*E(X) = c*mu

VAR(W) = VAR(c*X) = c^2VAR(X)

SD(W) = c*SD(X)

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.