1. [3 marks] A soeoer club has two expensive star players recruited from overseas. Detailed match records give the bivariate distribution for (X, Y} below, where X is the number of points obtained in a game (2 for a win: 1 for a draw, [I for a loss}. and Y is the number of stars playing in the team. The table belowr gives values of FrIEX = 2', Y = y}: Y = G Y = 1 Y = 2 X = Cl [1.15 {113 0136 X = H.013 {1.14 [1139 X = {1.13 0.15 a} Find the marginal distribution of X, the number of points obtained in a game, and the marginal distribution of Ir" the number of stars playing in the team. b} Compute the expected number of points obtained in a game and the expected number of stars playing in the team. a) Compute E{X 1"}. d} Hence. compute the eovarianee between X and Y