The table below contains 25 observation for (Xi,Yi) pairs where Xi= number of hours spent to study Econ301 in a week, and Yi=is the grade of a student in 10-point grading system. (1,2) (2,4) (1,3) (2,6) (1,4) (2,5) (1,3) (2,2) (1,1) (2,6) (3,6) (3,5) (3,6) (3,5) (3,6) (4,7) (4,7) (4,8) (4,8) (4,7) (5,9) ( 5 , 10 ) ( 5 , 10 ) (5,9) ( 5 , 10 ) Table 1: (Hours,Grade) (a) Construct the marginal distribution table for X and drow histogram (b) Construct the conditional probabilities of Y given X, Pr(Y | X=2). (c) Calculate the conditional expectations for Y given X, E(Y |X = x), where x = 1, . . . , 5. (d) Calculate the joint probability for X = 5 and Y = 10, P r(X = 5, Y = 10)