8 cedula 23, 12, 33, 23, 11, 21, 21, 31 p(x=1) = 2/8 p(x=2) = 4/8 p(x=3) = 2/8 p(y=1) = 4/8 p(y=2) = 1/8 p(y=3) = 3/8 p(x=1,y=1) = 1/8 p(x=1,y=2) = 1/8 p(x=2,y=1) = 2/8 p(x=2,y=3) = 2/8 p(x=3,y=1) = 1/8 p(x=3,y=3) = 1/8 nem fuggetlenek mert: p(x1,y2) = 1/8 p(x1) * p(y2) = 2/8 * 1/8 = 2/64 = 1/32 nem egyenloek cov(x,y) = e(xy) - e(x) * e(y) e(x) = 1 * 2/8 + 2 * 4/8 + 3 * 2/8 = 2/8 + 8/8 + 6/8 = 16/8 e(y) = 1 * 4/8 + 2 * 1/8 + 3 * 3/8 = 4/8 + 2/8 + 9/8 = 15/8 e(xy) = 1 * 1/8 + 2 * 1/8 + 2 * 2/8 + 6 * 2/8 + 3 * 1/8 + 9 * 1/8 = = 1/8 + 2/8 + 4/8 + 12/8 + 3/8 + 9/8 = 31/8 cov(x,y) = 31/8 - (16/8 * 15/8) = 37/8 - 240/64 = 296/64 - 240/64 = 56/64 56/64 28/32 14/16 7/8 ^ OK SO IF THIS IS POSITIVE JUST DO A BIG OL (1 - X) TO THAT BITCH