document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122645>Question 1122645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to a recent report, 60% of U.S. college graduates cannot find a full time job in their chosen profession. Assume 57% of the college graduates who cannot find a job are female and that 26% of the college graduates who can find a job are female. (See exercise 58 on page 215 of your textbook for a similar problem.)\r<BR>\n" );
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document.write( "Given a male college graduate, find the probability he can find a full time job in his chosen profession.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738765 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 60% of all college graduates cannot find a job in their profession.\r<BR>\n" );
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document.write( "that means that 40% can.\r<BR>\n" );
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document.write( "26% of all college graduates who can find a job are women.\r<BR>\n" );
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document.write( "that means that 74% of all college graduates who can find a job are men.\r<BR>\n" );
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document.write( "you are also given that 57% of the college graduates who cannot find a job are men.\r<BR>\n" );
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document.write( "that means that 43% of the college graduates who cannot find a job are men.\r<BR>\n" );
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document.write( "consider that 60% of all college graduates can't find a job and that 43% of them are men.\r<BR>\n" );
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document.write( "that means that .43 * 60% = 25.8% of all college graduates who cannot find a job are men.\r<BR>\n" );
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document.write( "consider that 40% of all college graduates can find a job and that 74% of them are men.\r<BR>\n" );
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document.write( "that means that .74 * 40% = 29.6% of all college graduates who can find a job are men.\r<BR>\n" );
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document.write( "you have 25.8% of all college graduates who cannot find a job are men and you have 29.6% of all college graduates who can find a job are men.\r<BR>\n" );
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document.write( "that means that 29.6% + 25.8% = 55.4% of all college graduates are men.\r<BR>\n" );
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document.write( "of the college graduates who are men, 29.6% / 55.4% = 53.42960289% of them can find a job after graduation.\r<BR>\n" );
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document.write( "i believe that answers the question.\r<BR>\n" );
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document.write( "you could build a table as shown below:\r<BR>\n" );
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document.write( "                           male      female      total\r\n" );
document.write( "can find a job             29.6%      10.5%       40%\r\n" );
document.write( "cannot find a job          25.8%      34.2%       60%\r\n" );
document.write( "total                      55.4%      44.6%      100%\r\n" );
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document.write( "the table is populated as follows:\r<BR>\n" );
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document.write( "60% of all college graduates can't find a job.<BR>\n" );
document.write( "that means 40% can.\r<BR>\n" );
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document.write( "26% of all college graduates who can find a job are female.<BR>\n" );
document.write( ".26 * 40 = 10.4% of all college graduates who can find a job are female.\r<BR>\n" );
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document.write( "26% of all college graduates who can find a job are female means that 74% of all college graduates who can find a job are male.<BR>\n" );
document.write( ".74 * 40 = 29.6% of all college graduates who can find a job are male.\r<BR>\n" );
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document.write( "57% of all college graduates who can't find a job are female.<BR>\n" );
document.write( ".57 * 60 = 34.2% of all college graduates who can't find a job are female.\r<BR>\n" );
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document.write( "57% of all college graduates who can't find a job are female means that 43% of all college graduates who can't find a job are male.<BR>\n" );
document.write( ".43 * 60 = 25.8% of all college graduates who can't find a job are men.\r<BR>\n" );
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document.write( "add up the columns to get 55.4% males and 44.6% females.<BR>\n" );
document.write( "add up the rows to get 40% can't find a job and 60% can find a job.\r<BR>\n" );
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document.write( "that completes the table.\r<BR>\n" );
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document.write( "to see if this makes sense, assume there are 1000 college graduates.<BR>\n" );
document.write( "40% can find a job and 60% can't.<BR>\n" );
document.write( "that makes 400 who can and 600 who can't.<BR>\n" );
document.write( "of the ones who can, 26% are female.<BR>\n" );
document.write( "that makes 104 females 296 males who can find a job.<BR>\n" );
document.write( "of the ones who can't, 57% are female.<BR>\n" );
document.write( "that makes 342 females and 258 males who can't find a job.<BR>\n" );
document.write( "the total number of males is 296 + 258 = 554.<BR>\n" );
document.write( "out of those, 296 can find a job.<BR>\n" );
document.write( "the percentage of males who can find a job is 296 / 554 = 53.42960289%.\r<BR>\n" );
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