An experiment consists of observing the age and number of pets of all citizens of a certain country. Let E be the event ​"at most 38 years old​," F the event ​"at least 1 pet​," and G the event ​"older than 38 and fewer than 3 pets​." ​(a) Are E and F mutually​ exclusive? ​(b) Are E and G mutually​ exclusive? ​(c) Are F and G mutually​ exclusive?

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An experiment consists of observing the age and number of pets of all citizens of a certain country. Let E be the event ​"at most 38 years old​," F the event ​"at least 1 pet​," and G the event ​"older than 38 and fewer than 3 pets​." ​(a) Are E and F mutually​ exclusive? ​(b) Are E and G mutually​ exclusive? ​(c) Are F and G mutually​ exclusive?
An experiment consists of observing the age and number of pets of all citizens of a certain country. Let E be the event "at most 38 years old," F the event "at least 1 pet," and G the event
"older than 38 and fewer than 3 pets."
(a) Are E and F mutually exclusive?
(b) Are E and G mutually exclusive?
(c) Are F and G mutually exclusive?
(a) Choose the correct answer below.
A. The events E and F are not mutually exclusive because the events can simultaneously occur.
B. The events E and F are mutually exclusive because the events comprise the entire sample space.
C. The events E and F are not mutually exclusive because the events cannot simultaneously occur.
D.
The events E and F are not mutually exclusive because the events are complements.
E.
The events E and F are mutually exclusive because the events can simultaneously occur.
F. The events E and F are mutually exclusive because the events cannot simultaneously occur.
G. There is not enough information given to answer this question.
(b) Choose the correct answer below.
A. The events E and G are mutually exclusive because the events can simultaneously occur.
B. The events E and are mutually exclusive because the events comprise the entire sample space.
C. The events E and G are not mutually exclusive because the events cannot simultaneously occur.
D. The events E and G are mutually exclusive because the events cannot simultaneously occur.
E.
The events E and G are not mutually exclusive because the events can simultaneously occur.
F. The events E and G are not mutually exclusive because the events are complements.
Transcribed Image Text:An experiment consists of observing the age and number of pets of all citizens of a certain country. Let E be the event "at most 38 years old," F the event "at least 1 pet," and G the event "older than 38 and fewer than 3 pets." (a) Are E and F mutually exclusive? (b) Are E and G mutually exclusive? (c) Are F and G mutually exclusive? (a) Choose the correct answer below. A. The events E and F are not mutually exclusive because the events can simultaneously occur. B. The events E and F are mutually exclusive because the events comprise the entire sample space. C. The events E and F are not mutually exclusive because the events cannot simultaneously occur. D. The events E and F are not mutually exclusive because the events are complements. E. The events E and F are mutually exclusive because the events can simultaneously occur. F. The events E and F are mutually exclusive because the events cannot simultaneously occur. G. There is not enough information given to answer this question. (b) Choose the correct answer below. A. The events E and G are mutually exclusive because the events can simultaneously occur. B. The events E and are mutually exclusive because the events comprise the entire sample space. C. The events E and G are not mutually exclusive because the events cannot simultaneously occur. D. The events E and G are mutually exclusive because the events cannot simultaneously occur. E. The events E and G are not mutually exclusive because the events can simultaneously occur. F. The events E and G are not mutually exclusive because the events are complements.
(c) Choose the correct answer below.
O A. The events F and G are not mutually exclusive because the events cannot simultaneously occur.
B. The events F and G are mutually exclusive because the events cannot simultaneously occur.
C. The events F and G are mutually exclusive because the events comprise the entire sample space.
D. The events F and G are not mutually exclusive because the events are complements.
E. The events F and G are mutually exclusive because the events can simultaneously occur.
F. The events F and G are not mutually exclusive because the events can simultaneously occur.
G. There is not enough information given to answer this question.
Transcribed Image Text:(c) Choose the correct answer below. O A. The events F and G are not mutually exclusive because the events cannot simultaneously occur. B. The events F and G are mutually exclusive because the events cannot simultaneously occur. C. The events F and G are mutually exclusive because the events comprise the entire sample space. D. The events F and G are not mutually exclusive because the events are complements. E. The events F and G are mutually exclusive because the events can simultaneously occur. F. The events F and G are not mutually exclusive because the events can simultaneously occur. G. There is not enough information given to answer this question.
Expert Solution
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Given that an experiment consists of observing the age and number of pets of all citizens of a certain country.

E = the event ​"at most 38 years old​,"

F = the event ​"at least 1 pet​," 

G = the event ​"older than 38 and fewer than 3 pets​."

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