document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786221>Question 786221</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the following. <BR>\n" );
document.write( "P(A) = 0.27 and P(B) = 0.37, and P(A and B) = 0.0999 \r<BR>\n" );
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document.write( " (a) What is P(A | B)? (Give your answer correct to two decimal places.) <BR>\n" );
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document.write( " (b) What is P(B | A)? (Give your answer correct to two decimal places.) <BR>\n" );
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document.write( " (c) Are A and B independent? <BR>\n" );
document.write( " yes no     cannot be determined  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477842 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=477842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Consider the following. <BR>\n" );
document.write( "P(A) = 0.27 and P(B) = 0.37, and P(A and B) = 0.0999 <BR>\n" );
document.write( "(a) What is P(A | B)? (Give your answer correct to two decimal places.) <BR>\n" );
document.write( "= P(A and B)/P(B) = 0.0999/0.37 = 0.27<BR>\n" );
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document.write( "(b) What is P(B | A)? (Give your answer correct to two decimal places.) <BR>\n" );
document.write( "= P(B and A)/P(A) = 0.0999/0.27 = 0.37<BR>\n" );
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document.write( "(c) Are A and B independent?<BR>\n" );
document.write( "Check: P(A and B) = P(A)*P(B)<BR>\n" );
document.write( "P(A and B) = 0.0999<BR>\n" );
document.write( "P(A)*P(B) = 0.27*0.37 = 0.0999<BR>\n" );
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document.write( "Their equality means A and B are independent.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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