Michael needs at least $150 to buy a new pair of Jordans shoes. He has already saved $45. He earns $15 per hour tutoring math students. Write and solve an
inequality to find how many hours he will need to tutor to buy the Jordans. Interpret
the solution.

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).