document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181139>Question 181139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Conditional probability: Basic<BR>\n" );
document.write( "At a certain college, 47% of the students are female, and 21% of the students major in finance. Furthermore, 12% of the students both are female and major in finance. \r<BR>\n" );
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document.write( "(a) What is the probability that a randomly selected finance major is female? Round your answer to 2 decimal places. <BR>\n" );
document.write( "(b) What is the probability that a randomly selected female student majors in finance? Round your answer to 2 decimal places. \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 #135833 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=135833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Conditional probability: Basic<BR>\n" );
document.write( "At a certain college, 47% of the students are female, and 21% of the students major in finance. Furthermore, 12% of the students both are female and major in finance. \r<BR>\n" );
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document.write( "(a) What is the probability that a randomly selected finance major is female? Round your answer to 2 decimal places.<BR>\n" );
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document.write( "P(female|finance major) = [P(female AND finance major)] / P[finance major]\r<BR>\n" );
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document.write( "= 0.12/0.21 = 0.5714...<BR>\n" );
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document.write( "(b) What is the probability that a randomly selected female student majors in finance? Round your answer to 2 decimal places.<BR>\n" );
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document.write( "P(majors in finance|female) = P(majors in fin AND female) / P(female)<BR>\n" );
document.write( "= 0.12/0.47 = 0.2553..<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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