document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184775>Question 1184775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a newspaper poll concerning violence on television, 600 people were asked, \"What is your opinion of the amount of violence on prime-time television-is there too much violence on television?\" Use the data in the table to find the following probabilities, where Y is the event \"saying yes,\" and M is the event \"being a man.\" (Round the answers to two decimal places.)<BR>\n" );
document.write( " 	Yes	No	Don't Know	Total<BR>\n" );
document.write( "Men	162	95	23	280<BR>\n" );
document.write( "Women	256	45	19	320<BR>\n" );
document.write( "Total	418	140	42	600<BR>\n" );
document.write( "(a) p(Y' | M ) = \r<BR>\n" );
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document.write( "(b) p(Y | M' ) = \r<BR>\n" );
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document.write( "(c) p(Y' | M' ) = \r<BR>\n" );
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document.write( "(d) Which event is the complement of the event Y|M?<BR>\n" );
document.write( "Y | M'<BR>\n" );
document.write( "Y' | M'    <BR>\n" );
document.write( "Y' | M </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815502 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)   P(Y'|M) = P(Y'∩M)/P(M) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28118%2F600%29%29%2F%28%28280%2F600%29%29+=+59%2F140 ALIGN=MIDDLE  ALT=\"%28%28118%2F600%29%29%2F%28%28280%2F600%29%29+=+59%2F140\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b)   P(Y|M') = P(Y∩M')/P(M') = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28256%2F600%29%29%2F%28%28320%2F600%29%29+=+4%2F5 ALIGN=MIDDLE  ALT=\"%28%28256%2F600%29%29%2F%28%28320%2F600%29%29+=+4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(c)   P(Y'|M') = P(Y'∩M')/P(M') = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2864%2F600%29%29%2F%28%28320%2F600%29%29+=+1%2F5 ALIGN=MIDDLE  ALT=\"%28%2864%2F600%29%29%2F%28%28320%2F600%29%29+=+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(d)    The complement of the event Y|M is Y'|M (without needing any calculation to verify). </SPAN>\n" );
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