document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128875>Question 1128875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a probability experiment consists of rolling a fair die 140 times. Assume that each of the 6 possible outcomes is equally likely to occur on any 1 roll of the die. Calculate the probability that the number 2 comes up at most 27 times. Round your final answer to 3 significant digits. Use approximation to the binomial distribution and include the correction for continuity. Sketch the standard normal graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745443 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=745443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> np=(140/6)=23.33 expected value<BR>\n" );
document.write( "np(1-p)=(140/6)(5/6)=700/36 variance and sd is sqrt(V)=4.41<BR>\n" );
document.write( "z=(27.5-23.33)/4.41, using 27.5 as the continuity correction factor for at most 27<BR>\n" );
document.write( "z< +0.946<BR>\n" );
document.write( "probability is 0.828<BR>\n" );
document.write( "Normal distribution with mean 23.33 and sd 4.41<BR>\n" );
document.write( "binomial includes 27 and up to 27.5.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );