document.write( "Question 674362: Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9% of the females. Assume the probability of selecting a male is the same as selecting a female.What is the probability that a person is a right handed male?
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Algebra.Com's Answer #419198 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! Within the United States, approximately 11.25% of the population is left-handed. Of the males, 12.6% are left-handed, compared to only 9.9% of the females. Assume the probability of selecting a male is the same as selecting a female.What is the probability that a person is a right handed male? \n" ); document.write( " \r\n" ); document.write( "We start with this chart. We assume 50% of the population are male\r\n" ); document.write( "and 50% of the population are female. \r\n" ); document.write( " \r\n" ); document.write( "----------------------------------------\r\n" ); document.write( " | Right | Left | |\r\n" ); document.write( " | Handed | Handed | Totals |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Male | | | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Female | | | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Totals | | 11.25% | 100% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "\r\n" ); document.write( "We can fill in the percentage of the people who are\r\n" ); document.write( "Right handed by subtracting 11.25% from 100%.\r\n" ); document.write( "100% - 11.25% = 88.75%\r\n" ); document.write( "\r\n" ); document.write( "----------------------------------------\r\n" ); document.write( " | Right | Left | |\r\n" ); document.write( " | Handed | Handed | Totals |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Male | | | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Female | | | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Totals | 88.75% | 11.25% | 100% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "\r\n" ); document.write( ">>Of the males, 12.6% are left-handed,<<\r\n" ); document.write( "\r\n" ); document.write( "So we take 12.6% of 50% and get 6.3%. So we fill that\r\n" ); document.write( "in for the percentage of the population who are \r\n" ); document.write( "left-handed males.\r\n" ); document.write( "\r\n" ); document.write( "----------------------------------------\r\n" ); document.write( " | Right | Left | |\r\n" ); document.write( " | Handed | Handed | Totals |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Male | | 6.3% | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Female | | 4.95 | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Totals | 88.75% | 11.25% | 100% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "\r\n" ); document.write( ">> compared to only 9.9% of the females (who are left-handed)<<\r\n" ); document.write( "\r\n" ); document.write( "We don't need that information because we can just subtract\r\n" ); document.write( "11.25% - 6.3% and get 4.95% or as a check we take 9.9% of 50% \r\n" ); document.write( "and get 4.95%. So, either way we get it we fill that\r\n" ); document.write( "in for the percentage of the population who are \r\n" ); document.write( "left-handed females.\r\n" ); document.write( "\r\n" ); document.write( "The two right-handed slots can be filled in by subrtacting\r\n" ); document.write( "50% - 6.3% = 43.7% and 50% - 4.95% = 45.05%.\r\n" ); document.write( "\r\n" ); document.write( "----------------------------------------\r\n" ); document.write( " | Right | Left | |\r\n" ); document.write( " | Handed | Handed | Totals |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Male | 43.7% | 6.3% | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Female | 45.05% | 4.95 | 50% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "Totals | 88.75% | 11.25% | 100% |\r\n" ); document.write( "--------|--------|-----------|---------|\r\n" ); document.write( "\r\n" ); document.write( "What is the probability that a person is a right handed male?\r\n" ); document.write( "\r\n" ); document.write( "Answer: 43.7% = 0.437\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |