document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070537>Question 1070537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that 20% of females and 10% of.males are unemployed in a city . Consider a group of people in which 40% are females .Randomly fraw one.person from the group.<BR>\n" );
document.write( "(a)What is the probability that the drawn person is unemployed ?<BR>\n" );
document.write( "(b)Given that the drawn person is unemployed ,what is the probability that the drawn person is a female?<BR>\n" );
document.write( "(c)Intuitively reason why the answer in (b)is hgher than 40%? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #685602 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=685602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Suppose that 20% of females and 10% of.males are unemployed in a city . Consider a group of people in which 40% are females .Randomly draw one.person from the group.<BR>\n" );
document.write( "(a)What is the probability that the drawn person is unemployed ?<BR>\n" );
document.write( "(0.2*0.4+0.1*0.6) = 0.14<BR>\n" );
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document.write( "(b)Given that the drawn person is unemployed ,what is the probability that the drawn person is a female?<BR>\n" );
document.write( "P(unemployed | female) = P(unemployed AND female)/P(female) = 0.2/0.4 = 0.5<BR>\n" );
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document.write( "(c)Intuitively reason why the answer in (b) is higher than 40% ?<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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