document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253060>Question 253060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probalility that a tomato seed will germinate is 60%. A gardener plants in batches of 12. Round to the nearest 3 decimal places.\r<BR>\n" );
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document.write( "1. what is the probability that exactly 10 seeds will germinate?<BR>\n" );
document.write( "2.what is the probability that all seeds will germinate?<BR>\n" );
document.write( "3. what is the porbability that 10 or more seeds will germinate<BR>\n" );
document.write( "4. Find the mean<BR>\n" );
document.write( "5. Find the standard deviation  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185366 by </B><A HREF=/tutors/aboutme.mpl?userid=Greenfinch><B>Greenfinch(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Greenfinch><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=Greenfinch><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a binomial distribution. B(12,0.6)<BR>\n" );
document.write( "1.Exactly 10 seeds is 12C10 (0.6)^10 x (0.4)^2<BR>\n" );
document.write( "this equates to 66 x 0.0060466 x 0.16 = 0.0638 or 6.38%<BR>\n" );
document.write( "2. All seeds is 12C12 x (0.6)^12 x 1 = 0.00217678 or 0.22%<BR>\n" );
document.write( "3. 10 or more are the 10, 11 and 12 cases added together. the case of 11 is<BR>\n" );
document.write( "12C11 x (0.6)^11 x 0.4 = 12 x 0.0036797 x 0.4 = 0.017414 or 1.7414 %<BR>\n" );
document.write( "So the probability of 10 or more is 6.38 + 1.74 + 0.22 % = 8.34% <BR>\n" );
document.write( "4. The mean is the number of trials x probability or 12 x 0.6 = 7.2 successes<BR>\n" );
document.write( "5. The variance is n x p x (1-p) which in this case is 12 x 0.6 x 0.4 = 2.88.<BR>\n" );
document.write( "The standard deviation is the sqrt of this or 1.697. </SPAN>\n" );
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