document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=871010>Question 871010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening, I'm having a hard time understanding this problem if anyone can help me it would be greatly appreciated \r<BR>\n" );
document.write( "\n" );
document.write( "1)Use the contingency table below to compute the following probabilities, based on a random sample of a subject:\r<BR>\n" );
document.write( "\n" );
document.write( "a) P(Male/ Basketball) <BR>\n" );
document.write( "b) P(Female or Baseball) <BR>\n" );
document.write( "c) P(Football) <BR>\n" );
document.write( "d) P(Male and Football)\r<BR>\n" );
document.write( "\n" );
document.write( "                        Prefer to <BR>\n" );
document.write( "                       watch on TV\r<BR>\n" );
document.write( "\n" );
document.write( "Gender     Baseball     Basketball     Football     Total<BR>\n" );
document.write( "Male         70            60             50         180\r<BR>\n" );
document.write( "\n" );
document.write( "Female       50            40             30         120\r<BR>\n" );
document.write( "\n" );
document.write( "Total       120           100             80         300 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525277 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=525277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1)Use the contingency table below to compute the following probabilities, based on a random sample of a subject:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://i150.photobucket.com/albums/s91/jim_thompson5910/SNAG_Program-0004a_zpscf6fd79d.png\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a) P(Male | Basketball) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is saying \"Probability of picking a male given s/he likes basketball\"\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look in the basketball column. There are 100 people total here. There are 60 of them who are male, so 60/100 = 6/10 = 3/5 is the probability \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(Male | Basketball) = <font color=\"red\">3/5</font>\r<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "b) P(Female or Baseball) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are 120 females total (see the \"total\" in the \"female\" row). \r<BR>\n" );
document.write( "\n" );
document.write( "There are 120 baseball fans total (see the \"total\" in the \"baseball\" column). \r<BR>\n" );
document.write( "\n" );
document.write( "There are 50 baseball fans who are female (intersection of female row and baseball column)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So there are 120+120-50 = 240-50 = 190 people who either are female or like baseball (or are both female and like baseball). We subtract off that 50 because of the double counting.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So we have 190 people of what we're looking for out of 300 total people (bottom right corner). Divide the two: 190/300 = 19/30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(Female or Baseball) = <font color=\"red\">19/30</font>\r<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------<BR>\n" );
document.write( "c) P(Football) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are 80 total football fans (male + female)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is out of 300 people total\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "80/300 = 8/30 = 4/15\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(Football) = <font color=\"red\">4/15</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "d) P(Male and Football)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are 50 males who happen to like football as well. This is out of 300 people total.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "50/300 = 1/6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "P(Male and Football) = <font color=\"red\">1/6</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );