answer this using MATHEMATICAL EXPECTATION /EXPECTED VALUE, tysm please answer this ASAP

1. A card game in a carnival has the following rules of winning: You will win 300 if you draw a jack or a queen: You will win 400 if you draw a king; You will win 500 if you draw an ace from an ordinary deck of 52 playing cards; If you draw any other card, you lose. How much should you pay to play if the game is fair? What expected value should you assume in order to solve this problem? Why? 2. Let X be a random variable with the following probability distribution: X -3 -6 f(x) 1/6 1/2 1/3 Find Me(x), Where g(X) = (2X + 1)3. 3. Suppose Let X and Y be random variables with joint density function f (x. y) = [+xy, 0