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 j such that P(Z/(sqrt(X/6)) > j) = 0.05
2. What is j such that P( - Z/(sqrt(X/6)) > j) = 0.95
3. What is j such that P(Z/sqrt(Y/8) < j) =0.995
4. What is j such that P(Z2/(Y/8) > j)=0.01
