SOLUTION: Let X and Y be two independent random variables. Suppose we know that 𝑉𝑎𝑟 (3𝑋−𝑌) = 3 𝑎𝑛𝑑 𝑉𝑎𝑟 (𝑋+2𝑌) = 5. Find 𝑉𝑎𝑟(𝑋) 𝑎𝑛

Algebra ->  Probability-and-statistics -> SOLUTION: Let X and Y be two independent random variables. Suppose we know that 𝑉𝑎𝑟 (3𝑋−𝑌) = 3 𝑎𝑛𝑑 𝑉𝑎𝑟 (𝑋+2𝑌) = 5. Find 𝑉𝑎𝑟(𝑋) 𝑎𝑛      Log On


   

Question 1184790: Let X and Y be two independent random variables. Suppose we know that
𝑉𝑎𝑟 (3𝑋−𝑌) = 3 𝑎𝑛𝑑 𝑉𝑎𝑟 (𝑋+2𝑌) = 5. Find 𝑉𝑎𝑟(𝑋) 𝑎𝑛𝑑 𝑉𝑎𝑟(𝑌).
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

Var%283X-Y%29+=+3 ===> 9Var%28X%29+%2B+Var%28Y%29+=+3
Var%28X%2B2Y%29+=+5 ===> Var%28X%29+%2B+4Var%28Y%29+=+5

===> and