Please explain your answers. Thanks!

Discrete Random Variables (True/False) Question 5 If Y and Z are independent random variables, then so are 5Y - 2 and 8Z + 10. True False Submit Question 6 If X and Y are two independent random variables, then max(X, Y) and min(X, Y) are also independent. True False Submitted Question 7 For any two random variables X and Y, if Qx,y = Qx X Ly, then X and Y are independent. True False Submitted Question 8 For any random variables X and Y, if a, b, c are all constants, then Var(aX + by + c) = a' Var(X) +b'Var(Y). True False Submitted