document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813424>Question 813424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use the normal distribution to approximate the following binomial probability: find the probability of rolling 40 or more 6's when rolling a fair die 180 times. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489702 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=489702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use the normal distribution to approximate the following binomial probability: find the probability of rolling 40 or more 6's when rolling a fair die 180 times.<BR>\n" );
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document.write( "u = np = 180(1/6) = 30<BR>\n" );
document.write( "s = sqrt(npq) = sqrt(30(5/6)) = sqrt(25) = 5<BR>\n" );
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document.write( "Find P(39.5 < x < 180.5)<BR>\n" );
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document.write( "z(39.5) = (39.5-30)/5 = 4.5/5 = 0.9<BR>\n" );
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document.write( "z(180.5-30)/5 = 150.5/5 = 30.1<BR>\n" );
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document.write( "P(40 <= x <= 80) = P (0.9<= z <= 30.1) = normalcdf(0.9,30.1) = 0.1841<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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