document.write( "Question 1166923: A statistical experiment has ten equally likely outcomes, which are denoted by 1, 2, 3, 4,
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document.write( "5, 6, 7, 8, 9 and 10. Let Event A = {1, 3, 7} and Event B = {6, 8, 10}.
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document.write( "a) Are events A and B mutually exclusive?
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document.write( "b) Are events A and B independent?
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document.write( "c) What is the complement of event A and its probability?
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Algebra.Com's Answer #791490 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "a) Yes, the events A and B are mutually exclusive, since the sets A and B are DISJOINT.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "b) The events A and B ARE NOT independent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Indeed, P(A ∩ B) = 0, since the events A and B are mutually exclusive;\r\n" ); document.write( "\r\n" ); document.write( " from the other side, P(A)*P(B) =\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved. // All questions are answered.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |