document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359027>Question 359027</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone explain this to me because the book was no help. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The random variable x has the following probability distribution:<BR>\n" );
document.write( "x          1       2         3       4       5<BR>\n" );
document.write( "___________________________________________________<BR>\n" );
document.write( "P(x)       0.6     0.1      0.1    0.1      0.1\r<BR>\n" );
document.write( "\n" );
document.write( "a.) Find the mean and standard deviation of  x.\r<BR>\n" );
document.write( "\n" );
document.write( "b). What is the probability that x is between mean - standard deviation and mean + standard deviation?<BR>\n" );
document.write( " <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256204 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=256204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu ALIGN=MIDDLE  ALT=\"mu\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the mean.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=sum%28x%2AP%28x%29%2Ci=1%2C5%29=1%280.6%29%2B2%280.1%29%2B3%280.1%29%2B4%280.1%29%2B5%280.1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=highlight%282%29 ALIGN=MIDDLE  ALT=\"mu=highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Calculate the variance first, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma ALIGN=MIDDLE  ALT=\"sigma\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VAR=sum%28%28x-mu%29%5E2%2AP%28x%29%2Ci=1%2C5%29=%281-2%29%5E2%280.6%29%2B%282-2%29%5E2%280.1%29%2B%283-2%29%5E2%280.1%29%2B%284-2%29%5E2%280.1%29%2B%285-2%29%5E2%280.1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VAR=%280.6%29%2B%280.1%29%2B4%280.1%29%2B9%280.1%29 ALIGN=MIDDLE  ALT=\"VAR=%280.6%29%2B%280.1%29%2B4%280.1%29%2B9%280.1%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=2 ALIGN=MIDDLE  ALT=\"VAR=2\"   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=sqrt%282%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sigma=1.414%29 ALIGN=MIDDLE  ALT=\"highlight%28sigma=1.414%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );