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?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 47E: Assume that a survey of 282 people is taken to determine the opinions of doctors, teachers, and...
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In a survey of 243 people, the following data were obtained relating gender to political orientation:
Republican (R) Democrat (D) Libertarian (L) Total
Male (M)
99
39
20
158
Femal (F)
45
20
20
85
Total
144
59
40
243
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?
f) Are the events Male and Republican independent?
Enter yes or no
Give your answers exactly, or to at least 4 decimal places.
口口
Transcribed Image Text:In a survey of 243 people, the following data were obtained relating gender to political orientation: Republican (R) Democrat (D) Libertarian (L) Total Male (M) 99 39 20 158 Femal (F) 45 20 20 85 Total 144 59 40 243 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? f) Are the events Male and Republican independent? Enter yes or no Give your answers exactly, or to at least 4 decimal places. 口口
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