document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=600527>Question 600527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the following binomial probabilities:<BR>\n" );
document.write( "a. n=8, p=.25, P(x = 4)<BR>\n" );
document.write( "b. n=16, p=.4, P(4&#8804; x &#8804;7)<BR>\n" );
document.write( "c. n=11, p=.5, P(x > 8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379377 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=379377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started.\r<BR>\n" );
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document.write( "a)\r<BR>\n" );
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document.write( "P(X = x) = (n C x)*(p)^(x)*(1-p)^(n-x)\r<BR>\n" );
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document.write( "P(X = 4) = (8 C 4)*(0.25)^(4)*(1-0.25)^(8-4)\r<BR>\n" );
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document.write( "P(X = 4) = (8 C 4)*(0.25)^(4)*(0.75)^(8-4)\r<BR>\n" );
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document.write( "P(X = 4) = (70)*(0.25)^(4)*(0.75)^4\r<BR>\n" );
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document.write( "P(X = 4) = (70)*(0.00390625)*(0.31640625)\r<BR>\n" );
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document.write( "P(X = 4) = 0.086517333984375\r<BR>\n" );
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document.write( "So the answer is P(X = 4) = 0.086517333984375\r<BR>\n" );
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document.write( "Note: n C x = (n!)/(x!(n-x)!)\r<BR>\n" );
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document.write( "So 8 C 4 = (8!)/(4!(8-4)!) = 70 </SPAN>\n" );
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