SOLUTION: If P(A) = 0.35 and P(B)=0.66 and P(A ∩B)= 0.231. Verify whether i)Events A and B are mutually exclusive ii)Events A and B are independent

Algebra ->  Probability-and-statistics -> SOLUTION: If P(A) = 0.35 and P(B)=0.66 and P(A ∩B)= 0.231. Verify whether i)Events A and B are mutually exclusive ii)Events A and B are independent      Log On


   

Question 1172476: If P(A) = 0.35 and P(B)=0.66 and P(A ∩B)= 0.231. Verify whether
i)Events A and B are mutually exclusive
ii)Events A and B are independent
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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(i)  Events A and B are mutually exclusive if and only if  P(A ∩ B) = 0.


     Since in our case  P(A ∩ B) = 0.231 is not zero, the events A and B are NOT mutually exclusive.




{ii) Check if  P(A)*P(B) = P(A ∩ B).


     This condition is a necessary and sufficient condition for events A and B to be independent.


     You can easily make this simple check on your own.