(Answered) Solve using venn diagramsa and b are events in a sample

Statistics

Solve using venn diagrams

a and b are events in a sample space S such that P(A)=0.7,P(B)0.4 and P(A and B) = 0.2.

a. draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed.

b. find the probability that A occurs but B doesn not.

c. find the probability that B occurs but A does not.

d. Find the probability that neither A nor B occurs.

e. Are events A and B independent?(That is, does P(A/B)=P(A)?)

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