document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375694>Question 375694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved†. Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetuated by the same criminals. The police are investigating sixteen property crime cases in this district.\r<BR>\n" );
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document.write( "What is the probability that none of the crimes will ever be solved? 0.028<BR>\n" );
document.write( "What is the probability that at least one crime will be solved? 0.972<BR>\n" );
document.write( "What is the expected number of crimes that will be solved? What is the standard deviation?<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 #267188 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=267188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The answers to the first two questions are correct.  Expectation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+n%2Ap+=+16%2A0.8+=+12.8 ALIGN=MIDDLE  ALT=\"mu+=+n%2Ap+=+16%2A0.8+=+12.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=SD+=+sqrt%28npq%29+=+sqrt%2816%2A0.8%2A0.2%29+=+1.6 ALIGN=MIDDLE  ALT=\"SD+=+sqrt%28npq%29+=+sqrt%2816%2A0.8%2A0.2%29+=+1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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