Question 2 (30 points): Suppose sample space S is S=(0, 1, 2, 3, 4, 5, 6, 7, 8, 9), and event El=(0, 2, 4, 6, 8), event E2={1, 3, 5, 7, 9; and event E3 is the set of your student ID digits when 0 is replaced by number of your section. For example if your student ID is 35703 and you are in section 04 then, event E3 is E3=(3, 4, 5, 7). Write down event E3 based on your student's ID: E3 ={ a) Find P({E2 U E3'}) and P({E2 n E3'})? [10 points] b) How many three digits number can you make from set {E2UE3; if selection is with replacement? [5 points] c) How many odd two digits number can you make from set {E/UE3} if selection is without replacement? (be careful with 0; for example, 02 is not a two digits number) [5 points] d) How many even six digits number can you make from set {E/}, {E2} and {E3), such that the first two are from set {E/; and the next two are from set {E2); and the last two are from set {E3) if selection is with replacement? (be careful with ()