One student is selected from the student body of your college. Define the follow
ID: 3060363 • Letter: O
Question
One student is selected from the student body of your college. Define the followng events: M-the student selected is male, F-the studert selected is fermale s-the student selected is registered for statistics (a) Are events M and f mutualy exdusve? O Yes (b) Are events M and S mutually exdusive? O Yes (c) Are events F and S mutuslly exclusive? O Yes O No (d) Are events M and F complementary? O Yes (e) are events M and S complementary? No re complementary events alsa mutualy exclusrve events? O Type here to searchExplanation / Answer
M - The student is male
F - The student is female
S - The student has enrolled for statistics.
(Note : The answer below assumes only two genders. If the third gender is included, the answer for (d) changes to No).
(a) Since a student cannot be both male and female, the answer is:
Yes.
(b) Since a female student can enroll for statistics, the answer is:
No.
(c) Since a male student can enroll for statistics, the answer is:
No.
(d) Since a student has to be male or female, the answer is:
Yes.
(e) Since a student can be neither male nor enrolled in statistics, the answer is:
No.
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