document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=799062>Question 799062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having trouble in my stats class. Could anyone help me with the following question? The probability that a student is taking an English course is 0.60, that a student is taking a chemistry class is 0.30, and that a student is taking both English and chemistry is 0.12.<BR>\n" );
document.write( "1. find the probability that a student selected at random is taking either English or chemistry<BR>\n" );
document.write( "2. find the probability that a student selected at random is not taking English.<BR>\n" );
document.write( "3. find the probability that a student is taking English, given that the student is taking chemistry.<BR>\n" );
document.write( "4. are the events \"taking English\" and 'taking chemistry\" independent events? explain why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482482 by </B><A HREF=/tutors/aboutme.mpl?userid=Finavon><B>Finavon(81)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Finavon><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=482482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(E) = 0.6<BR>\n" );
document.write( "p(C) = 0.3<BR>\n" );
document.write( "p(E&C) = 0.12\r<BR>\n" );
document.write( "\n" );
document.write( "a) p(EorC) = 0.6+0.3 = 0.9<BR>\n" );
document.write( "b) p(notE) = 1-0.6 = 0.4<BR>\n" );
document.write( "c) p(C)*p(E') = p(E&C) <BR>\n" );
document.write( "p{E') = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0.12+%2F+0.3+=+0.4+ ALIGN=MIDDLE  ALT=\"+0.12+%2F+0.3+=+0.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d) not independent. <BR>\n" );
document.write( "p(E') < p(E) and p(E&C) < p(E)*p(C) = 0.18 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );