Hello, This is an old exam but the values of X and Y aren't known, could you write some values yourselfs then solve the excerise ?

Exercise 2: Random Variables Given a table of 2 RVs X and Y. (Couldn't remember values) Y\\X X=1 \\ X=2 X=3 Y=2 ' Y=4 0 Compute the marginal probabilities 0 Calculate P(Y=yX=2) 0 Check whether X and Y are independent. 0 Calculate the expected value of random variable Z, which is dened as the sum of X and Y