document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968187>Question 968187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dean at Brookfield College found that 20% of the female students are majoring in engineering. 57% of students at Brookfield are women. Let A be the event that the student is a women and B the event that the student is an engineering major. <BR>\n" );
document.write( "a.) Which of the following is true? P(B/A) =.20 P (A and B) =.20 <BR>\n" );
document.write( "b.) What is the probability that a student is chosen at random will be a women engendering major? <BR>\n" );
document.write( "c.) If 27% of Brookfield's students are majoring in engineering, what percentage of engineering majors are women? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #591682 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=591682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The dean at Brookfield College found that 20% of the female students are majoring in engineering. 57% of students at Brookfield are women. Let A be the event that the student is a women and B the event that the student is an engineering major. <BR>\n" );
document.write( "a.) Which of the following is true? P(B/A) =.20 P (A and B) =.20<BR>\n" );
document.write( "Ans: P(B|A) = 0.20<BR>\n" );
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document.write( "b.) What is the probability that a student is chosen at random will be a women engendering major?<BR>\n" );
document.write( "Ans: P(A and B) = 0.57*0.20 = 11.4%<BR>\n" );
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document.write( "c.) If 27% of Brookfield's students are majoring in engineering, what percentage of engineering majors are women?<BR>\n" );
document.write( "Ans: 11.4/27 = 0.422 = 42.2%<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );