document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868154>Question 868154</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard deviation of the random variable.<BR>\n" );
document.write( " The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are<BR>\n" );
document.write( "0.6274, 0.3102, 0.0575, 0.0047, and 0.0001, respectively. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523606 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=523606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note : Your probabilities do not sum to 1 but rather 0.9999.<BR>\n" );
document.write( "Find the expected value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=0%280.6274%29%2B1%280.3102%29%2B2%280.0575%29%2B3%280.0047%29%2B4%280.0001%29 ALIGN=MIDDLE  ALT=\"mu=0%280.6274%29%2B1%280.3102%29%2B2%280.0575%29%2B3%280.0047%29%2B4%280.0001%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=0.4397 ALIGN=MIDDLE  ALT=\"mu=0.4397\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now find the variance,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var=sum%28x%5E2%2AP%28x%29-mu%5E2%29 ALIGN=MIDDLE  ALT=\"Var=sum%28x%5E2%2AP%28x%29-mu%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var=0%280.6274%29%2B1%280.3102%29%2B4%280.0575%29%2B9%280.0047%29%2B16%280.0001%29-0.1933%29 ALIGN=MIDDLE  ALT=\"Var=0%280.6274%29%2B1%280.3102%29%2B4%280.0575%29%2B9%280.0047%29%2B16%280.0001%29-0.1933%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var=0.5841-0.1933%29 ALIGN=MIDDLE  ALT=\"Var=0.5841-0.1933%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var=0.3908 ALIGN=MIDDLE  ALT=\"Var=0.3908\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28Var%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28Var%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=0.6251 ALIGN=MIDDLE  ALT=\"sigma=0.6251\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );