(6 points) In a survey of 208 people, the following data were obtained relating

Question

(6 points) In a survey of 208 people, the following data were obtained relating gender to political orientation Republican (R) Democrat (D)/Libertarian(L/Total Male (M) Femal (F 126 82 208 58 63 29 92 9 14 Total 102 A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a Democrat? c) Male given that the person is a Democrat? d) Republican given that the person is Male? e) Female given that the person is a Libertarian? 1) Are the events Male and Republican independent? no Enter yes or no

Explanation / Answer

a) P(Male) = 126/208 = 63/104

b) P(Male and Democrat) = 63/208

c) P(Male | Democrat) = 63/92

d) P(Republican | Male) = 58/126 = 29/63

e) P(Female | Libertarian) = 9/14

f) No

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