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?
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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
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 .
Expert Solution
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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