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Probability 1. I have a loaded die. The distribution is listed below. Face p(x) 1 0.3 2 0.1 3 0.1 4 0.1 5 0.1 6 0.3 If this die is thrown and the top shows an odd number what is the probability that the number is1? 2. In an eye clinic, women ages 30-39 was measured for unaided distance vision in both the right eye and the left eye and the results are shown in the table below. Right Eye Highest Second Third Lowest Highest 750 125 60 2 Left Eye Second 130 775 180 40 Third 60 210 885 90 Lowest 35 40 100 25 a. What is the probability that the right eye was high? b. What is the probability that the right eye and the left eye were both at the lowest c. What is the probability that the left eye is third given that the right eye was third 3. Two dice are rolled. Find the probabilities that a. b. c. d. the white die is an odd number. the sum of the two dice is 6 both dice show odd numbers the number on the black die is larger that the number on the white die. 4. If P(A) = 0.3 and P(B) = 0.4, and A and B are mutually exclusive events, find the P(A or B). What is the P(Aand B)? 5. If P(A) = 0.2 and P(B) = .6, and P(A|B) = .1, find the P (A or B) . (A & B are not mutually ex) 6. If two poker chips are drawn from a box that contains one red, one blue, and one white chip without replacement, what is the probability of drawing one red and one blue chip? 7. Two flower seeds are randomly selected from a package that contains five seeds for red flowers and three seeds for white flowers. What is the probability that both seeds are for white flowers? 8. A company that manufactures shoes has three factories. Factory 1 produces 25% of the company’s shoes. Factory 2 produces 60%, and Factory 3 produces 15%. One percent of the shoes produced by Factory 1 are mislabeled, 0.5% of those produced by Factory 2 are mislabeled, and 2% of those produced by Factory 3 are mislabeled. If you purchase one pair of shoes manufactured by this company and they were mislabeled, what is the probability that they came from Factory 1?