(1 pt) In a survey of 238 people, the following data were obtained relating gend

Question

(1 pt) In a survey of 238 people, the following data were obtained relating gender to political orientation Republican (R) Democrat (D) Independent (I) Total 150 Male (M) Femal (F) 81 58 28 86 19 Total 122 30 238 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 an Independent? f) Are the events Male and Republican independent? Enter yes or no

Explanation / Answer

a) P(male) = 150/238 = 0.6303

b) P(Male and Democrat) = 58/238 = 0.2437

c) P(Male | Democrat) = 58/86 = 0.6744

d) P(Republican | Male) = 81/150 = 0.54

e) If 2 events A and B are independent, P(A) x P(B) =P(A and B)

P(Male) x P(Republican) = 150/238 x 122/238 = 0.3231

P(Male and republican) = 81/238 = 0.3403

So, the events are not independent

Ans: no

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