4.138 Independence and Mutually Exclusive Suppose that P(A)=0.3 and P(B)=0.4. a. If P(AB)=0.12, are A and B

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4.138 Independence and Mutually Exclusive Suppose that P(A)=0.3 and P(B)=0.4.

a. If P(AB)=0.12, are A and B independent? Justify your answer.

b. If P(AUB)=0.7, what is P(AB)? Justify your answer.

c. If A and B are independent, what is P(A|B)?

d. If A and B are mutually exclusive, what is P(A|B)?

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