Let X and Y be chi-square random variables with 6 and 8 degrees of freedom respectively. While Z is a standard normal r.v. Assume X,Y,Z are independent.
1. What is y such that Fy(y)=0.005
2. What is j such that P((X/6) / (Y/8) > j)=0.01
3. What is j such that P((Y/8) / (X/6) < j)=0.01
4. What is E(XY)?
