Male (M) 80 20 18 118 Femal (F) 51 45 19 115 Total 131 65 37 233 A person is randomly selected. What is the probability that the person is: 118 a) Male? 233 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?

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In a survey of 233 people, the following data were obtained relating gender to political orientation:
Republican (R) Democrat (D) Independent (1) Total
Male (M)
80
20
18
118
Femal (F)
51
45
19
115
Total
131
65
37
233
A
person is randomly selected. What is the probability that the person is:
118
a) Male?
233
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?
P. Enter
yes or no .
Transcribed Image Text:In a survey of 233 people, the following data were obtained relating gender to political orientation: Republican (R) Democrat (D) Independent (1) Total Male (M) 80 20 18 118 Femal (F) 51 45 19 115 Total 131 65 37 233 A person is randomly selected. What is the probability that the person is: 118 a) Male? 233 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? P. Enter yes or no .
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Step 1

Given :

  Republican ( R) Democrat ( D) Independent ( I )  Total
Male (M) 80 20 18 118
Female ( F) 51 45 19 115
Total 131 65 37 233
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