document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=464667>Question 464667</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a teacher has found that the probability that a student studies for a test is .6, the probability that a student gets a good grade on a test is .7 and the probability that a student gets a good grade on a test is 07 and the probability that both occur is .52.\r<BR>\n" );
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document.write( "1. Are these events independent?\r<BR>\n" );
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document.write( "2. Given that the student studies, find the probability that the student gets a good grade.\r<BR>\n" );
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document.write( "3. Gicen that the student gets a good grade, find the probability that the student studies. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318315 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=318315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) These events are not independent, because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28studies++AND+good+grades%29%3C+%3EP%28studies%29+%2A+P%28good+grades%29 ALIGN=MIDDLE  ALT=\"P%28studies++AND+good+grades%29%3C+%3EP%28studies%29+%2A+P%28good+grades%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "2)  P(good grades| studies) = P(studies  AND good grades)/P(studies) = 0.52/0.6 = 13/15.\r<BR>\n" );
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document.write( "3) P(studies | good grades) = P(studies  AND good grades)/P(good grades) = 0.52/0.7 = 26/35. </SPAN>\n" );
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