Chi 6. The following table provides a frequency distribution of the known characters of Middle-Earth and Aman divided by race. mondayas nads Stork of from erorg Race Frequency Men 472 Elves 98 Half-elves 12 Hobbits 246 Dwarves 52 Ainur 37 orcs 20 Suppose that one of the characters is randomly selected. Find the probability that the character selected is: (a) Elves. (4 pts.) mal 0 bak & goow rod af Jeon arodgan befooles s dedi vallidedosq ers oniamess(I () (b) Is a Hobbit or an orc. (4 pts.) 47. Suppose A and B are events such that P(A) = 1, P(B) = ; and P(A U B) = }. (a) Are events A and B mutually exclusive? Explain your answer. (4 pts.) (b) Determine P(An B). (4 pts.) aweih how olamiss eds doidw mort aotislugog ofde to anout odd 58. A government tax agency decides that it will audit the returns of 6 people from a group of 18. Use combination or permutation notation to find the number of possible ways they can choose the 6 people. (8 pts.) Jevol sousbanos Hee ads of guibaogas.go TO19 3