document.write( "Question 1145848: According to a report, 9.5% of all full-time S.A. undergraduate students study abroad. Assume that 60% of the undergraduate students who study abroad are female and that 49% of the undergraduate students who do not study abroad are female. A full-time S.A. undergraduate student is randomly selected. \r
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document.write( "2.1) What is the probability that the student is female and studying abroad (rounded off to three decimals)? [2]\r
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document.write( "2.2) What is the probability that the student is female and not studying abroad (rounded off to three decimals)? [2]\r
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document.write( "2.3) What is the probability that the student is female (rounded off to four decimals)? [3]\r
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document.write( "2.4) What is the probability that the student is male (rounded off to four decimals)? [1]\r
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document.write( "2.5) What is the overall percentage of full-time female students and male students (rounded off to zero decimals)?\r
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Algebra.Com's Answer #767375 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! % of full-time S.A. undergraduate students who study abroad = 0.095 \n" ); document.write( "% of full-time S.A. undergraduate students who do not study abroad = 0.905 \n" ); document.write( " \n" ); document.write( "% of undergraduate students who study abroad that are female = 0.60 \n" ); document.write( "% of undergraduate students who study abroad that are male = 0.40 \n" ); document.write( " \n" ); document.write( "% of undergraduate students who not do study abroad that are female = 0.49 \n" ); document.write( "% of undergraduate students who not do study abroad that are male = 0.51 \n" ); document.write( " \n" ); document.write( "2.1) What is the probability that the student is female and studying abroad (rounded off to three decimals)? \n" ); document.write( " \n" ); document.write( "0.60 * 0.095 = 0.057 \n" ); document.write( " \n" ); document.write( "2.2) What is the probability that the student is female and not studying abroad (rounded off to three decimals)? \n" ); document.write( " \n" ); document.write( "0.49 * 0.905 = 0.443 \n" ); document.write( " \n" ); document.write( "2.3) What is the probability that the student is female (rounded off to four decimals)? \n" ); document.write( " \n" ); document.write( "(0.60 * 0.095) + (0.49 * 0.905) = 0.057 + 0.443 = 0.500 \n" ); document.write( " \n" ); document.write( "2.4) What is the probability that the student is male (rounded off to four decimals)? \n" ); document.write( " \n" ); document.write( "(0.40 * 0.095) + (0.51 * 0.905) = 0.038 + 0.462 = 0.500 \n" ); document.write( " \n" ); document.write( "Or...you could have simply subtracted the result from Question 2.3 from 1. \n" ); document.write( " \n" ); document.write( "2.5) What is the overall percentage of full-time female students and male students (rounded off to zero decimals) \n" ); document.write( " \n" ); document.write( "From last two questions...50/50. |