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Students who live in the dorms at a college get free T.V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T.V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. The student is too tired to check which channels the shows are playing on, so the student picks a channel at random.
-The two events A = {the student watches an athletic event} and N = {the student watches a news broadcast} are
A) independent events.
B) disjoint (mutually exclusive) events.
C) each simple events.
D) None of the above.

Question

Use the following information for questions:
 Students who live in the dorms at a college get free T.V. service in their rooms, but only receive 6 stations. On a certain evening, a student wants to watch T.V. and the six stations are broadcasting separate shows on baseball, football, basketball, local news, national news, and international news. The student is too tired to check which channels the shows are playing on, so the student picks a channel at random.
-The two events A = {the student watches an athletic event} and N = {the student watches a news broadcast} are
A) independent events.
B) disjoint (mutually exclusive) events.
C) each simple events.
D) None of the above.

Quizplus · Accepted Answer

Events A and N are disjoint (mutually exclusive) because if the student watches an athletic event (baseball, football, or basketball), they cannot be watching a news broadcast (local, national, or international news) at the same time, and vice versa.

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