document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007999>Question 1007999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain brand of tomato seeds has a 0.75 probability of germinating. To increase the chance that at least one tomato plant per seed hill germinates, a gardener plants four seeds in each hill. (Round your answers to five decimal places.)\r<BR>\n" );
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document.write( "(a) What is the probability that at least one seed will germinate in a given hill?  <BR>\n" );
document.write( "(b) What is the probability that two or more seeds will germinate in a given hill?<BR>\n" );
document.write( "(c) What is the probability that all four seeds will germinate in a given hill?<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 #623772 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=623772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A certain brand of tomato seeds has a 0.75 probability of germinating. To increase the chance that at least one tomato plant per seed hill germinates, a gardener plants four seeds in each hill. (Round your answers to five decimal places.)<BR>\n" );
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document.write( "Binomial Problems with n = 4 and p(germinate) = 0.75 ; p(not germinate) = 0.25<BR>\n" );
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document.write( "(a) What is the probability that at least one seed will germinate in a given hill?<BR>\n" );
document.write( "P(1<= x <=4) = 1 - p(x = 0) = 1 - 0.25^4 = 0.9961<BR>\n" );
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document.write( "(b) What is the probability that two or more seeds will germinate in a given hill?<BR>\n" );
document.write( "P(2<= x <=4) = 1 - binomcdf(4,0.75,1) = 0.9492<BR>\n" );
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document.write( "(c) What is the probability that all four seeds will germinate in a given hill?<BR>\n" );
document.write( "P(x = 4) = 0.75^4 = 0.3164<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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