A group of people at a movie theater were surveyed to find what type of movie they most enjoy watching. The following table represents the results of the survey. Drama Comedy Action Documentary
Adults 18 15 8 4
Children 2 35 17 1

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).