document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1091772>Question 1091772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Julie performs an experiment in which she rolls 5 fair 6-sided dice and records the number XX of dice that have a value of at least 3. For example, if the rolls are {2, 4, 1, 6, 4}, then X=3\r<BR>\n" );
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document.write( "a) The random variable X follows a binomial distribution. What are n and p for this distribution?<BR>\n" );
document.write( "n=Answer\r<BR>\n" );
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document.write( "(Enter a decimal only, not a fraction, rounded to the nearest hundredth, in the box below.)<BR>\n" );
document.write( "p=Answer\r<BR>\n" );
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document.write( "b) What is the probability that exactly 1 of the 5 dice has a value of at least 3?<BR>\n" );
document.write( "(Enter a decimal only, not a fraction, rounded to the nearest hundredth, in the box below.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #706635 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=706635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n=5<BR>\n" );
document.write( "p=2/3 or 0.67, since 3,4,5,6 work and 1,2 do not.<BR>\n" );
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document.write( "exactly 1 has a value of at least 3.<BR>\n" );
document.write( "5 ways it can happen * (2/3)^1(1/3)^4=5*2/243=10/243 or 0.0412.  Note, if fractions aren't used, the number is not as accurate and would be 0.0397 </SPAN>\n" );
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