6. In a sample of 1000 people, the results of the sample are shown in the table below. (3 pts. each) m Show all work including the formula used when applicable. For parts a, b, and c replace \"?\" inside 0 with the correct notation. For example, Find the probability of selecting a woman, is P(W) = 550/ 1 000 a) If one person is selected at random, nd the probability that he is a man. PC?) = b) Given the person selected is woman, nd the probability she is lefthanded. P(?) = c) If one person is selected at random, nd the probability that he is a Man or left-handed. PC?) = d) Are the events \"the person is a man\" and \"the person is left handed independent? If yes, why? If no, why not? Are the events independent? Justify: e) Are the events \"the person is a man\" and \"the person is left handed mutually exclusive? If yes, why? Ifno, Why not? Are the events mutually exclusive? Justify