Question: Please answer correctly 1. A sample of 200 persons is asked about their handedness. A two way table of observed counts follows: Left-handed Right-handed Total

Please answer correctly

1. A sample of 200 persons is asked about their handedness. A two way table of observed counts follows: Left-handed Right-handed Total Men 11 79 Women 9 101 Total Let M: selected person is a men; W: selected person is a women; L: selected person is left-handed; R: selected person is right-handed. If one person is randomly selected, find: a. P(W) b. P(R) c. P(M n R) d. P(W UL) e. P(M | L) If two persons are randomly selected with replacement, a. What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men? b. What is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women? If two persons are randomly selected without replacement, a. What is the probability of the first selected person is a left-handed men and the second selected person is a right-handed men? b. What is the probability of the first selected is a left-handed women and the second selected person is also a left-handed women? 2. Flip a fair coin twice. Let H: the coin lands on a head; T: the coin lands on a tail. S = { (H, H), (H, T), (T, H), (T, T) } Find: a. P(both are H) b. P(1st is TU and is H) c. P(both are T | at least one T)

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