The following contingency table provides a joint frequency distribution for the popular votes cast in the 1984 presidential election by region and political party. Data are in thousands, rounded to the nearest thousand. Political Party Democratic | Republican | Other | Totals 20,483 25,441 28,833 17,895 92,652 Region Northeast 11,336 9046 101 10,511 Midwest 14,761 17,699 10,659 54,455 169 136 South 10,998 West 7022 214 Totals 37,577 620 A person who voted in the 1984 presidential election is selected at random. Find the probability that the person voted Republican Find the probability that the person voted Republican given that they are from the South Are the events "voting Republican" and "being from the South" independent? How can you tell?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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The following contingency table provides a joint frequency distribution for the popular
votes cast in the 1984 presidential election by region and political party. Data are in
thousands, rounded to the nearest thousand.
Political Party
Democratic | Republican | Other | Totals
20,483
25,441
28,833
17,895
92,652
Region
Northeast
11,336
9046
101
10,511
Midwest
14,761
17,699
10,659
54,455
169
136
South
10,998
West
7022
214
Totals
37,577
620
A person who voted in the 1984 presidential election is selected at random.
Find the probability that the person voted Republican
Find the probability that the person voted Republican given that they are from the South
Are the events "voting Republican" and "being from the South" independent? How can you
tell?
Transcribed Image Text:The following contingency table provides a joint frequency distribution for the popular votes cast in the 1984 presidential election by region and political party. Data are in thousands, rounded to the nearest thousand. Political Party Democratic | Republican | Other | Totals 20,483 25,441 28,833 17,895 92,652 Region Northeast 11,336 9046 101 10,511 Midwest 14,761 17,699 10,659 54,455 169 136 South 10,998 West 7022 214 Totals 37,577 620 A person who voted in the 1984 presidential election is selected at random. Find the probability that the person voted Republican Find the probability that the person voted Republican given that they are from the South Are the events "voting Republican" and "being from the South" independent? How can you tell?
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