document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014264>Question 1014264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Out of 300 applicants for the MPH program, 212 are female and 110 are female and have a nursing degree. If 152  of the applicants to the MPH program have nursing degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a nursing degree?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630630 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=630630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f = number of females = 212<BR>\n" );
document.write( "f and n = number of females who have a nursing degree = 110<BR>\n" );
document.write( "t = total number of applicants = 300<BR>\n" );
document.write( "n = number of applicants who have a nursing degree = 152\r<BR>\n" );
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document.write( "p(f) = 212/300<BR>\n" );
document.write( "p(f and n) = 110/300<BR>\n" );
document.write( "p(n) = 152/300\r<BR>\n" );
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document.write( "p(f given n) = p(f and n) / p(n) = (110/300) / (152/300) = 110/300 * 300/152 = 110/152 = .7236842105\r<BR>\n" );
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document.write( "this is reasonable since there are 110 females who have a nursing degree out of 152 total applicants who have a nursing degrees.\r<BR>\n" );
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document.write( "if you are given that the applicant has a nursing degree, then your universe is 152 applicants who have nursing degrees.\r<BR>\n" );
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document.write( "since there are 110 females who have a nursing degree, then the probability of an applicant with a nursing degree being female is 110/152.\r<BR>\n" );
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