document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=727336>Question 727336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that  40 % of the population is male and that 80% own a computer. If 70 % of females own computers, what is the probability that:  <BR>\n" );
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document.write( " (a)  A randomly selected person does NOT own a computer?<BR>\n" );
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document.write( "      P( person does not own a computer ) = <BR>\n" );
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document.write( " (b)  A randomly selected person owns a computer?<BR>\n" );
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document.write( "      P( person owns a computer ) = <BR>\n" );
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document.write( "(c) If the person selected owns a computer, what is the probability that the person was male?<BR>\n" );
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document.write( "    P( Male |  owns computer ) = <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 #445076 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=445076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parts a) and b)\r<BR>\n" );
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document.write( "40 % of the population is male, so 60% is female\r<BR>\n" );
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document.write( "Suppose that 40 % of the population is male and that 80% own a computer, which means that 80% of the guys, or 0.8*0.4 = 0.32 = 32% of the population owns a computer and is male. This isn't the whole story since we've yet to count females.\r<BR>\n" );
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document.write( "70 % of females own computers, so 0.7*0.6 = 0.42 = 42% of the population owns computers and are female. All together, 32+42 = 74% of the population owns a computer. Now we're counting both males and females.\r<BR>\n" );
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document.write( "So 100 - 74 = 26% of the population does not own a computer. This is because you either own a computer or you don't own a computer.\r<BR>\n" );
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document.write( "So the answer to part a) is <font color=\"red\">26%</font> or <font color=\"red\">0.26</font>\r<BR>\n" );
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document.write( "The answer to part b) is <font color=\"red\">74%</font> or <font color=\"red\">0.74</font>\r<BR>\n" );
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document.write( "=========================================================================\r<BR>\n" );
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document.write( "Part c)\r<BR>\n" );
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document.write( "P( Male | owns computer ) = P(Male AND owns computer)/P(owns computer)\r<BR>\n" );
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document.write( "P( Male | owns computer ) = (0.32)/(0.74)\r<BR>\n" );
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document.write( "P( Male | owns computer ) = <font color=\"red\">0.43243243243243</font>\r<BR>\n" );
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document.write( "which is roughly <font color=\"red\">43.24%</font>\r<BR>\n" );
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