Two players, A and B. A goes first. They roll a die that has random outputs between 1 and 30. The player who gets the higher number, wins and the loser pays the winner the amount that the winner gets on his die. What is the expected winnings

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).