document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151453>Question 1151453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads). What is the standard deviation for this distribution?<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 #773192 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "n = 3 is the number of coin flips (number of trials)<BR>\n" );
document.write( "p = 0.5 is the probability of getting heads (probability of success)<BR>\n" );
document.write( "q = 1-p = 1-0.5 = 0.5 is the probability of getting tails (probability of failure)\r<BR>\n" );
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document.write( "sigma = standard deviation of binomial distribution<BR>\n" );
document.write( "sigma = sqrt(n*p*q)<BR>\n" );
document.write( "sigma = sqrt(3*0.5*0.5)<BR>\n" );
document.write( "sigma = 0.86602540378443<BR>\n" );
document.write( "sigma = 0.866<BR>\n" );
document.write( "<font color=red size=4>Answer: 0.866 </font> (answer is approximate and rounded to 3 decimal places. Use different precision if your instructor states otherwise)<BR>\n" );
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