19- The following diagram indicates how probabilities have been assign.docx

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19. The following diagram indicates how probabilities have been assigned to various subsets of the sample space S : a. Are the three events A , B , and C pairwiseindependent events? b. Are the three events A , B , and C independent events? c. What is the value of P ( A B ) ? What is the value of P (( A B ) C ) ? d. Suppose event D is such that P ( D ) = .05 and D ( A B C ) = . Are events D and A independent? Are events D and ( A B C ) independent? e. What is the probability of event C , given ( A B ? .

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