Oe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat and choose two names without looking. What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A = {KL}
A = {KJ, KL}
A = {KL, LK}
A = {KJ, KL, LJ}

If abcde is reflected over the x-axis and then translated 3 units left, what are the new coordinates d?

Line wx is parallel to line yz. if m

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).