document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120720>Question 1120720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alexia dug 11 holes labelled one to 11. Each hole is identical in every way. She puts a seed in each hole such that each seed has a probability of 0.6 to germinate.\r<BR>\n" );
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document.write( "What is the probability that all seeds will germinate?<BR>\n" );
document.write( "What is the probability that only three will not germinate?<BR>\n" );
document.write( "What is the probability that more than five will germinate?<BR>\n" );
document.write( "What is the expected value that a seed will germinate?<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 #736385 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=736385\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Alexia dug 11 holes labelled one to 11. Each hole is identical in every way. She puts a seed in each hole such that each seed has a probability of 0.6 to germinate. <BR>\n" );
document.write( "What is the probability that all seeds will germinate?<BR>\n" );
document.write( "Ans:: P(x = 11) = 0.6^11 = 0.0036<BR>\n" );
document.write( "What is the probability that only three will not germinate?<BR>\n" );
document.write( "Ans: P(x = 8) = 11C8*0.6^8*0.4*3 = binompdf(11,0.6,8) = 0.1774<BR>\n" );
document.write( "What is the probability that more than five will germinate?<BR>\n" );
document.write( "Ans: P(6<=x<=11) = 1 - binomcdf(11,0.6,5) = 0.753<BR>\n" );
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document.write( "What is the expected value that a seed will germinate?<BR>\n" );
document.write( "E(x) = np = 11*0.6 = 6.6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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