SOLUTION: Suppose that P(A)= 0.54, P(B)= 0.71 and P(A and B)= 0.3751. A) are A and B disjoint events? B) are A and B dependent events? C) explain why for parts A and B.

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose that P(A)= 0.54, P(B)= 0.71 and P(A and B)= 0.3751. A) are A and B disjoint events? B) are A and B dependent events? C) explain why for parts A and B.       Log On


   

Question 1083000: Suppose that P(A)= 0.54, P(B)= 0.71 and P(A and B)= 0.3751.
A) are A and B disjoint events?
B) are A and B dependent events?
C) explain why for parts A and B.
Answer by Boreal(15235) About Me  (Show Source):
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Were they disjoint events, there would be no probability for p(A+B). So they aren't disjoint.
If they were dependent, p(A and B) would not be= p(A)*p(B); stated another way, if they were independent, the joint probability would be the product of the separate probabilities.
The joint probability is almost that, but it is a little more, 0.3834; therefore, the two are not independent, so there must be dependence.