Assignment 5.1

# Which of the following statements is correct given

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6. Which of the following statements is correct given that the events  A  and  B  have nonzero  probabilities? a. and  B  cannot be both independent and disjoint b. A  and  B  can be both independent and disjoint c. A  and  B  are always independent d. A  and  B  are always disjoint 7. A  and  B  are disjoint events, with  P ( A ) = 0.20 and  P ( B ) = 0.30. Then  P ( A  and  B ) is:

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8. If event  A  does not occur, then its complement  C A  will also not occur. T/F 9.  Abby, Brenda, and Cameron; three candidates for the presidency of a college’s student  body, are to address a student forum. The forum’s organizer is to select the order in  which the candidates will give their speeches, and must do so in such a way that each  possible order is equally likely to be selected. a. List the outcomes in the sample space. b. Assign probabilities to the outcomes. c. What is the probability that Cameron will speak first? d. What is the probability that one of the women will speak first? e. What is the probability that Abby will speak before Cameron does?
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