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 #482489 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=482489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Use a Venn diagram.  Universe is all students.  Two circles, one for English, one for Chemistry.  Overlap is worth 12%, English but NOT Chem is then 60% - 12% = 48%. Chem but NOT English is 30% - 12 % = 18%.  Either English or Chem (or both) is 48 + 12 + 18 = 78%.  Prob Eng given Chem is 12%...if Eng given Chem then must be both.  Independent.  The fact that a student is taking one or the other tells you nothing about whether or not they are taking the other.  Contrast this with a situation where English was a pre-requisite for taking Chem -- then the probability of taking Chem would be dependent on taking or having taken English.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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