document.write( "Question 1131618: During one month, a blood donation center found that
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document.write( "45.3% of the donors had the A antigen.
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document.write( "14.7% of the donors had the B antigen.
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document.write( "4.7% of the donors had the A antigen and the B antigen.
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document.write( "84.3% of the donors were Rh+.
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document.write( "87.5% of the donors had the B antigen or were Rh+.
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document.write( "(a)
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document.write( "Find the percent of donors that have the A antigen or the B antigen.
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document.write( "(b)
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document.write( "Find the percent of donors that have the B antigen and are Rh+. \n" );
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Algebra.Com's Answer #748869 by ikleyn(52784)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a) Find the percent of donors that have the A antigen or the B antigen.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " The basic equality is P(A or B) = P(A) + P(B) - P(A and B), which gives\r\n" ); document.write( "\r\n" ); document.write( " P(A or B) = 45.3% + 14.7% - 4.7% = 55.3%. ANSWER\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(b) Find the percent of donors that have the B antigen and are Rh+.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " The basic equality is P(B or Rh+) = P(B) + P(Rh+) - P(B and Rh+), which implies\r\n" ); document.write( "\r\n" ); document.write( " P(B and Rh+) = P(B) + P(Rh+) - P(B or Rh+), or\r\n" ); document.write( "\r\n" ); document.write( " P(B and Rh+) = 14.7% + 84.3% - 87.5% = 11.5%. ANSWER\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The lesson to learn from my post is THIS\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " basic equality for probability is P(A or B) = P(A) + P(B) - P(A and B).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " It is true for any sets of events \" A \" and \" B \" inside the universal set of events.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |