Originally Posted by

**optometryorchidsmelly** Thanks for looking at this!

Mean is not included in the question, but it does come from a section about independent random variables- not sure if that helps.

The exact wording is this: "In considering medical insurance for a certain operation, let X equal the amount (in dollars) paid for the doctor and let Y equal the amount paid to the hospital. In the past, the variances have been Var(X) = 8100, Var(Y) = 10,000, and Var(X + Y) = 20,000. Due to increased expenses, it was decided to increase the doctor's fee by $500 and increase the hospital charge Y by 8 percent. Calculate the variance of X+500+(1.08)Y, the new total claim.

All of the other questions involved independent random variables, and were much more straightforward than this one. Unfortunately, I can't find any similar examples or problems in the book. Thanks again for any help!