document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1047059>Question 1047059</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in a particular year. (Round your answers to three decimal places.)<BR>\n" );
document.write( "Income      <5   15-29 30-99 100-199 &#8805;200    <BR>\n" );
document.write( "Probability 0.266 0.213 0.382  0.104  0.035<BR>\n" );
document.write( "(a) What is the probability that a randomly chosen return shows an adjusted gross income of $30,000 or more? <BR>\n" );
document.write( "(b) Given that a return shows an income of at least $30,000, what is the conditional probability that the income is at least $100,000? <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 #662538 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=662538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A,  Probability <$30,000 is 0.479, so the probability more than $30,000 is 0.521<BR>\n" );
document.write( "Given that it is >=$30,000, (0.521), the probability it is greater than $100,000 is 0.1075/0.521, or 0.2063. </SPAN>\n" );
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