e. Are "Republican" and "Democrat" complementary events in this data set? Give a reason for your answer. Choose the correct answer below. OA. "Republican" and "Democrat" are not complementary because 1 - P(Republican) = P(Democrat). B. "Republican" and "Democrat" are complementary because 1-P(Republican) = P(Democrat). OC. "Republican" and "Democrat" are complementary because 1 - P(Republican)*P(Democrat). D. "Republican" and "Democrat" are not complementary because 1 - P(Republican) #P(Democrat).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Hello, I need help with answering part E of this problem.

7. A poll asked a sample of voters if marijuana should be legalized. Voters' responses and political party affiliation are in the table. Complete parts (a) through (e) below.
Favor Legalization of
Marijuana
Yes
147
218
271
636
Political Affiliation
Republican
Democrat
Independent
Total
a. If a person is randomly selected from this group, find the probability that the person is a Republican.
No
124
93
140
357
Total
271
311
411
993
27.3
%
(Type an integer or decimal rounded to one decimal place as needed.)
b. If a person is randomly selected from this group, find the probability that the person is a Democrat.
31.3
%
(Type an integer or decimal rounded to one decimal place as needed.)
c. If a person is randomly selected from this group, find the probability that the person is a Republican or Democrat.
58.6
%
(Type an integer or decimal rounded to one decimal place as needed.)
d. Are "Republican" and "Democrat" mutually exclusive events? Give a reason for your answer. Choose the correct answer below.
A. "Republican" and "Democrat" are mutually exclusive because if a voter is "Republican" they cannot be "Democrat."
B. "Republican" and "Democrat" are mutually exclusive because if a voter is "Republican" they could also be "Democrat."
C. "Republican" and "Democrat" are not mutually exclusive because if a voter is "Republican" they could also be "Democrat."
D. "Republican" and "Democrat" are not mutually exclusive because if a voter is "Republican" they cannot be "Democrat."
e. Are "Republican" and "Democrat" complementary events in this data set? Give a reason for your answer. Choose the correct answer below.
A. "Republican" and "Democrat" are not complementary because 1 - P(Republican) = P(Democrat).
B. "Republican" and "Democrat" are complementary because 1 - P(Republican) = P(Democrat).
C. "Republican" and "Democrat" are complementary because 1 - P(Republican) # P(Democrat).
D. "Republican" and "Democrat" are not complementary because 1 - P(Republican) # P(Democrat).
Transcribed Image Text:7. A poll asked a sample of voters if marijuana should be legalized. Voters' responses and political party affiliation are in the table. Complete parts (a) through (e) below. Favor Legalization of Marijuana Yes 147 218 271 636 Political Affiliation Republican Democrat Independent Total a. If a person is randomly selected from this group, find the probability that the person is a Republican. No 124 93 140 357 Total 271 311 411 993 27.3 % (Type an integer or decimal rounded to one decimal place as needed.) b. If a person is randomly selected from this group, find the probability that the person is a Democrat. 31.3 % (Type an integer or decimal rounded to one decimal place as needed.) c. If a person is randomly selected from this group, find the probability that the person is a Republican or Democrat. 58.6 % (Type an integer or decimal rounded to one decimal place as needed.) d. Are "Republican" and "Democrat" mutually exclusive events? Give a reason for your answer. Choose the correct answer below. A. "Republican" and "Democrat" are mutually exclusive because if a voter is "Republican" they cannot be "Democrat." B. "Republican" and "Democrat" are mutually exclusive because if a voter is "Republican" they could also be "Democrat." C. "Republican" and "Democrat" are not mutually exclusive because if a voter is "Republican" they could also be "Democrat." D. "Republican" and "Democrat" are not mutually exclusive because if a voter is "Republican" they cannot be "Democrat." e. Are "Republican" and "Democrat" complementary events in this data set? Give a reason for your answer. Choose the correct answer below. A. "Republican" and "Democrat" are not complementary because 1 - P(Republican) = P(Democrat). B. "Republican" and "Democrat" are complementary because 1 - P(Republican) = P(Democrat). C. "Republican" and "Democrat" are complementary because 1 - P(Republican) # P(Democrat). D. "Republican" and "Democrat" are not complementary because 1 - P(Republican) # P(Democrat).
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