Solve the question and box the final answer

2. Suppose that 2 batteries are randomly chosen without replacement from the following group of 12 batteries: 3 new 4 used (working) 5 defectives Let X denote the number of new batteries chosen. Let Y denote the number of used batteries chosen. Find: a. The joint probability function f (x, y) b. The marginal distributions of X and Y c. Conditional distribution f (x/1 ) for all values and determine P(X ( Y=]) d. Using the Probability distribution, you got in (a.). Find the expected value of g(X,Y) XY. e. Find Ax and My