After having a nice dinner with two coworkers, you decide to evenly split the $135 dollar bill amongst the three of you. you all agree to provide a tip of 20% of your bill. how much does each person owe toward the bill and tip?

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).