7. Suppose we have the following joint frequency matrix: Seniors Juniors Rest Totals A B C Computer Science 90 60 45 D Mathematics E 45 75 95 Physics F 36 60 135 Rest of Majors G 19 55 35 Totals Find the following. Express your answer as a common fraction to get credit. i) Show all marginal probabilities with a label and answer. iv) Probability ( A or C) = (first check if A, C are disjoint) v) Probability (C or F) =(Check if C, F are disjoint) viii) Probability( computer science / Junior) = (Use conditional probability rule) ix ) Write the conditional distribution of Majors (means listing all probabilities) in the Seniors category