Analysis: A. Incorrect. Events and are said to be independent. A B B. Correct. Events and are said to be independent. A B C. Incorrect. Events and are said to be independent. A B D. Incorrect. Events and are said to be independent. A B ANSWER: B Ref: Section 5.2 If and are independent events with = 0.60 and = 0.60, then is: A B P(A) P(A|B) P(B) 1.20 0.60 0.36 Cannot be determined with the information given. Analysis: A. Incorrect. Cannot be determined with the information given. B. Incorrect. Cannot be determined with the information given. C. Incorrect. Cannot be determined with the information given. D. Correct. Cannot be determined with the information given. ANSWER: D Ref: Section 5.2 If events and are independent then: A B and = P(A B) P(A)* P(B) and = P(A B) P(A) + P(B) P(B|A) = P(A) None of these choices. Analysis: A. Correct. and = P(A B) P(A)* P(B) B. Incorrect. and = P(A B) P(A)* P(B) C. Incorrect. and = P(A B) P(A)* P(B) D. Incorrect. and = P(A B) P(A)* P(B) ANSWER: A Ref: Section 5.2 - 5.3 Two events and are said to be mutually exclusive if: A B = 1 P(A|B) P(A|B) = P(A) and =1 P(A B) and = 0 P(A B) Analysis: A. Incorrect. If and = 0 P(A B) B. Incorrect. If and = 0 P(A B) C. Incorrect. If and = 0 P(A B) D. Correct. If and = 0 P(A B) ANSWER: D Ref: Section 5.2 - 5.3
Analysis: A. Incorrect. Events A and B are said to be independent. B. Correct. Events A and B are said to be independent. C. Incorrect. Events A and B are said to be independent. D. Incorrect. Events A and B are said to be independent. ANSWER: B Ref: Section 5.2 If A and B are independent events with P(A) = 0.60 and P(A|B) = 0.60, then P(B) is: 1.20 0.60 0.36 Cannot be determined with the information given. Analysis: A. Incorrect. Cannot be determined with the information given. B. Incorrect. Cannot be determined with the information given. C. Incorrect. Cannot be determined with the information given. D. Correct. Cannot be determined with the information given. ANSWER: D Ref: Section 5.2 If events A and B are independent then: P(A and B) = P(A)* P(B) P(A and B) = P(A) + P(B) P(B|A) = P(A) None of these choices. Analysis: A. Correct. P(A and B) = P(A)* P(B) B. Incorrect. P(A and B) = P(A)* P(B) C. Incorrect. P(A and B) = P(A)* P(B) D. Incorrect. P(A and B) = P(A)* P(B) ANSWER: A Ref: Section 5.2 - 5.3 Two events A and B are said to be mutually exclusive if: P(A|B) = 1 P(A|B) = P(A) P(A and B) =1 P(A and B) = 0 Analysis: A. Incorrect. If P(A and B) = 0 B. Incorrect. If P(A and B) = 0 C. Incorrect. If P(A and B) = 0 D. Correct. If P(A and B) = 0 ANSWER: D Ref: Section 5.2 - 5.3
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