document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=537120>Question 537120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the probability of getting 6 tails in 10 trials of tossing a coin?  need to solve using the approximation methoed and the binomial distribution </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352730 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=352730\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the probability of getting 6 tails in 10 trials of tossing a coin? need to solve using the approximation methoed and the binomial distribution<BR>\n" );
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document.write( "Binomial: n = 10 ; p = 1/2<BR>\n" );
document.write( "P(x = 6) = 10C6*(1/2)^6*(1/2)^4 = 210/2^10 = 0.2051<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Normal Approximation:<BR>\n" );
document.write( "Find P(5.5 < x < 6.5)<BR>\n" );
document.write( "mean = np = 10*0.5 = 5<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(5*1/2)) = 1.58<BR>\n" );
document.write( "---<BR>\n" );
document.write( "z(5.5) = (5.5-5)/1.58 = 0.3165<BR>\n" );
document.write( "z(6.5) = (6.5-5)/1.58 = 0.9494<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(5.5<x<6.5) = (0.3165<z<0.9494) = 0.2046<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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