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Social ScienceIn parts Ce) and Cb), idenfy whether the events are Musul Exclusive, Independent, or Neither (events cannot be bothsive, Independent, or Neither (events cannot be bothdisjoint and independent).a) You and a randomly selected student from your class both earn A's in this courseMutually ExclusiveO NeitherIndependentb) You and your class partner both eam A's in this course.Mutually ExclusiveNeitherIndependentc) If two events can occur at the same time, they must be independentFalseTrue
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In parts Ce) and Cb), idenfy whether the events are Musul Exclusive, Independent, or Neither (events cannot be both sive, Independent, or Neither (events cannot be both disjoint and independent). a) You and a randomly selected student from your class both earn A's in this course Mutually Exclusive O Neither Independent b) You and your class partner both eam A's in this course. Mutually Exclusive Neither Independent c) If two events can occur at the same time, they must be independent False True
Expert Answer
Let us consider two events A and B
Independent events : Two events A and B are said to be independent that probability of occurrence of one event does not affect the probability of occurrence of another event. If two events are independent the probability of occurrence of two events A and B together is equal to product of probabilities of occurrence of event A and event B.
P(A ∩ B)=P(A)*P(B)
Mutually Exclusive Events: Two evnts A and B are said to be mutually exclusive or disjoint, if Both events A and B cannot occur at same time. So we can say that P(A ∩ B) = 0.
Events cannot be both Disjoint and independent .
Here it is given that You and a randomlmy selected student from your class both earn A's in the course.
This depends on the grading system. If the grading of the class is done on a curve then the events are not independent as occurrence of one event will affect the occurrence of another event. If the grading is on curve then we can say that both earning A's on the course are independent events.
You and your class partner both earn A's in the course.
Here the events are not independent because me and my class partne...
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