document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100503>Question 1100503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders.\r<BR>\n" );
document.write( "\n" );
document.write( "x	0	1	2	3	4	5<BR>\n" );
document.write( "P(x)	0.204	0.370	0.230	0.156	0.039	0.00\r<BR>\n" );
document.write( "\n" );
document.write( "(e) Compute &#963;, the standard deviation of the number of repeat offenders out of five. (Round your answer to two decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715000 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Were you given this discrete probability table or did you compute it? <BR>\n" );
document.write( "Using 25% and the binomial probability function, you would get,<BR>\n" );
document.write( "0,0.237<BR>\n" );
document.write( "1,0.396<BR>\n" );
document.write( "2,0.264<BR>\n" );
document.write( "3,0.088<BR>\n" );
document.write( "4,0.015<BR>\n" );
document.write( "5,0.001<BR>\n" );
document.write( "I'll show you how to solve with the data you provided.<BR>\n" );
document.write( "If you need to modify, just follow the same procedure.<BR>\n" );
document.write( "Find the mean,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=sum%28x%2AP%28x%29%29 ALIGN=MIDDLE  ALT=\"mu=sum%28x%2AP%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=1.454 ALIGN=MIDDLE  ALT=\"mu=1.454\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then find,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=sum%28%28x-mu%29%5E2%2AP%28x%29%29 ALIGN=MIDDLE  ALT=\"V=sum%28%28x-mu%29%5E2%2AP%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V=1.202 ALIGN=MIDDLE  ALT=\"V=1.202\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and finally,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28V%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28V%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=1.096 ALIGN=MIDDLE  ALT=\"sigma=1.096\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=vc5.JPG\">. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );