A poll asked a sample of voters if marijuana should be legalized. Voters' responses and political party affiliation are
Posted: Mon Nov 15, 2021 12:40 pm
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.
Political
Affiliation
Yes
No
Republican
154
145 299
Democrat
239
71
310
Independent
272
137 409
Total
665
353 1018
a. If a person is randomly selected from this group, find the
probability that the person is a Republican.
enter your response here ___ %
(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.
enter your response here ____%
(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.
enter your response here ____%
(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 complementary because
1−P(Republican)≠P(Democrat).
B."Republican" and "Democrat" are not complementary
because
1−P(Republican)≠P(Democrat).
C."Republican" and "Democrat" are not complementary
because
1−P(Republican)=P(Democrat).
D."Republican" and "Democrat" are complementary because
1−P(Republican)=P(Democrat)
legalized. Voters' responses and political party affiliation are
in the table. Complete parts (a) through (e) below.
Political
Affiliation
Yes
No
Republican
154
145 299
Democrat
239
71
310
Independent
272
137 409
Total
665
353 1018
a. If a person is randomly selected from this group, find the
probability that the person is a Republican.
enter your response here ___ %
(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.
enter your response here ____%
(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.
enter your response here ____%
(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 complementary because
1−P(Republican)≠P(Democrat).
B."Republican" and "Democrat" are not complementary
because
1−P(Republican)≠P(Democrat).
C."Republican" and "Democrat" are not complementary
because
1−P(Republican)=P(Democrat).
D."Republican" and "Democrat" are complementary because
1−P(Republican)=P(Democrat)