document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061917>Question 1061917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> _     Nursing_majors           Non-nursing_majors       Total<BR>\n" );
document.write( "Males   96                          1013                1109<BR>\n" );
document.write( "Females 700                         1724                2424<BR>\n" );
document.write( "Total   796                         2737                3533    \r<BR>\n" );
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document.write( "(a) Find the probability that the student is male or a nursing major.<BR>\n" );
document.write( "&#8203;P(being male or being nursing &#8203;major)= __<BR>\n" );
document.write( "&#8203;(Round to the nearest thousandth as&#8203; needed.)<BR>\n" );
document.write( "&#8203;<BR>\n" );
document.write( "(b) Find the probability that the student is female or not a nursing major.<BR>\n" );
document.write( "&#8203;P(being female or not being a nursing &#8203;major)=__<BR>\n" );
document.write( "&#8203;(Round to the nearest thousandth as&#8203; needed.)\r<BR>\n" );
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document.write( "&#8203;(c) Find the probability that the student is not female or a nursing major.<BR>\n" );
document.write( "&#8203;P(not being female or being a nursing &#8203;major)=__<BR>\n" );
document.write( "&#8203;(Round to the nearest thousandth as&#8203; needed.)\r<BR>\n" );
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document.write( "&#8203;(d) Are the events&#8203; \"being male\" and&#8203; \"being a nursing&#8203; major\" mutually&#8203; exclusive? Explain.\r<BR>\n" );
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document.write( "A.<BR>\n" );
document.write( "&#8203;No, because one&#8203; can't be male and a nursing major at the same time.\r<BR>\n" );
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document.write( "B.<BR>\n" );
document.write( "&#8203;Yes, because one&#8203; can't be male and a nursing major at the same time.\r<BR>\n" );
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document.write( "C.<BR>\n" );
document.write( "&#8203;No, because there are 96 males majoring in nursing.\r<BR>\n" );
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document.write( "D.<BR>\n" );
document.write( "&#8203;Yes, because there are 96 males majoring in nursing.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #677179 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=677179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> _  Nursing_majors  Non-nursing_majors  Total<BR>\n" );
document.write( "Males  96 1013  1109<BR>\n" );
document.write( "Females 700  1724  2424<BR>\n" );
document.write( "Total  796  2737  3533 <BR>\n" );
document.write( "Male or a nursing major is 1109+796-both (96)=1809/0.512<BR>\n" );
document.write( "Female or not a nursing major is 2424+2737-1724 (double counting)=3437/3533 (only male nursing majors are omitted. 0.973<BR>\n" );
document.write( "Not a female or a nursing major leaves male non-nursing majors only, which is 1013/3533=0.287<BR>\n" );
document.write( "Male and being a nursing major are not exclusive, because one can be a male and a nursing major. So the answer is C, No, they aren't mutually exclusive, because there are 96 males majoring in nursing.<BR>\n" );
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