In a survey of 176 people, the following data were obtained relating gender to political orientation: Republican (R) Democrat (D) Libertarian (L) Total Male (M) 74 22 14 110 Femal (F) 12 38 16 66 Total 86 60 30 176 A person is randomly selected. What is the probability that the person is: a) Male? 0.625 b) Male and a Democrat? 0.125 Wrong c) Male given that the person is a Democrat? 0.3667 d) Republican given that the person is Male? 0.8604 e) Female given that the person is a Libertarian? 0.5333 主 Enter yes or no. f) Are the events Male and Republican independent? No Give your answers exactly, or to at least 4 decimal places.

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In a survey of 176 people, the following data were obtained relating gender to political orientation:
Republican (R) Democrat (D) Libertarian (L) Total
Male (M)
74
22
14
110
Femal (F)
12
38
16
66
Total
86
60
30
176
A person is randomly selected. What is the probability that the person is:
a) Male? 0.625
b) Male and a Democrat? 0.125
Wrong
c) Male given that the person is a Democrat? 0.3667
d) Republican given that the person is Male? 0.8604
e) Female given that the person is a Libertarian? 0.5333
Enter yes or no.
f) Are the events Male and Republican independent? No
Give your answers exactly, or to at least 4 decimal places.
Transcribed Image Text:In a survey of 176 people, the following data were obtained relating gender to political orientation: Republican (R) Democrat (D) Libertarian (L) Total Male (M) 74 22 14 110 Femal (F) 12 38 16 66 Total 86 60 30 176 A person is randomly selected. What is the probability that the person is: a) Male? 0.625 b) Male and a Democrat? 0.125 Wrong c) Male given that the person is a Democrat? 0.3667 d) Republican given that the person is Male? 0.8604 e) Female given that the person is a Libertarian? 0.5333 Enter yes or no. f) Are the events Male and Republican independent? No Give your answers exactly, or to at least 4 decimal places.
The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men.
Smoker Nonsmoker
Has Lung Disease
0.11
0.04
No Lung Disease
0.17
0.68
One 60-to-65 year old man is selected at random. What is the probability of the following events? Give your answers to at least 4
decimal places, or éxpress exactly.
A. He is a smoker: 0.28
wrong
Wrang
B. He does not have lung disease: 0.85
C. He has lung disease given that he is a smoker: 0.1100
D. He has lung disease given that he does not smoke: 0.0400
Transcribed Image Text:The following table lists the joint probabilities associated with smoking and lung disease among 60-to-65 year-old men. Smoker Nonsmoker Has Lung Disease 0.11 0.04 No Lung Disease 0.17 0.68 One 60-to-65 year old man is selected at random. What is the probability of the following events? Give your answers to at least 4 decimal places, or éxpress exactly. A. He is a smoker: 0.28 wrong Wrang B. He does not have lung disease: 0.85 C. He has lung disease given that he is a smoker: 0.1100 D. He has lung disease given that he does not smoke: 0.0400
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