document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1010914>Question 1010914</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 6% of senior citizens suffer from both sleep disorders and anxiety. \r<BR>\n" );
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document.write( "(a) Find the probability that a senior citizen suffers from anxiety, given that he or she has sleep disorder. Round your answer to  decimal places. <BR>\n" );
document.write( "(b) Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from sleep disorder? Round your answer to  decimal places. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626507 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=626507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 6% of senior citizens suffer from both sleep disorders and anxiety. \r<BR>\n" );
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document.write( "(a) Find the probability that a senior citizen suffers from anxiety, given that he or she has sleep disorder. Round your answer to decimal places.<BR>\n" );
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document.write( "P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674<BR>\n" );
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document.write( "(b) Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from sleep disorder? Round your answer to decimal places.<BR>\n" );
document.write( "P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 = 2/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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