document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199130>Question 1199130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x	P(x)<BR>\n" );
document.write( "0	0.05<BR>\n" );
document.write( "1	0.2<BR>\n" );
document.write( "2	0.15<BR>\n" );
document.write( "3	0.6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I have attempted to multiply each x value by its corresponding P(x) value, and then added those values together. I got 1.97 as an answer, and it was incorrect. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832833 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52812)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Go to web-site \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://www.calculator.net/standard-deviation-calculator.html?numberinputs=0.05+0.2+0.15+0.6&ctype=p&x=41&y=20\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and use free of charge online calculator there.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "In parallel, learn the theory/formula from this web-page.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The answer is  0.209165, and you can round it as you want.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you need instructions on how to do it using TI-83 or TI-84, see and learn from these websites\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://www.youtube.com/watch?v=DdQHwgAVePk    <BR>\n" );
document.write( "(youtube video-lesson)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "https://www.mathbootcamps.com/how-to-find-the-standard-deviation-and-variance-with-a-graphing-calculator-ti83-or-ti84/    <BR>\n" );
document.write( "(textual description)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );