SOLUTION: A statistical experiment has ten equally likely outcomes, which are denoted by 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. Let Event A = {1, 3, 7} and Event B = {6, 8, 10}. a) Are events

Question 1166923: A statistical experiment has ten equally likely outcomes, which are denoted by 1, 2, 3, 4,
5, 6, 7, 8, 9 and 10. Let Event A = {1, 3, 7} and Event B = {6, 8, 10}.
a) Are events A and B mutually exclusive?
b) Are events A and B independent?
c) What is the complement of event A and its probability?

Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.


a)  Yes, the events A and B are mutually exclusive, since the sets A and B are DISJOINT.



b)  The events A and B  ARE NOT independent.


     Indeed, P(A ∩ B) = 0, since the events A and B are mutually exclusive;

     from the other side, P(A)*P(B) =   is not zero.


     Since P(A ∩ B) =/= P(A)*P(B), the events A and B are not independent.




c)  Complement of event A is event {2,4,5,6,8,9,10}, and the probability of this complement event is   = 1 - .

Solved. // All questions are answered.

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