document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364104>Question 364104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> We believe that 90% of the population of all Calculus I students consider calculus an exciting subject.  Suppose we randomly and independently selected 21 students from the population.  If the true percentage is really 90%, find the probability of observing 20 or more of the students who consider calculus to be an exciting subject in our sample of 21. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259780 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 0.90  = probability that a student finds calculus exciting.<BR>\n" );
document.write( "THEN...0.10 = probability that a student finds calculus not exciting.<BR>\n" );
document.write( "This is a binomial experiment with p = 0.90 and n = 21.  Therefore the probability of observing 20 or more of the students who consider calculus to be an exciting subject in our sample of 21 is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C21%2C20%29%29%2A0.90%5E20%2A0.10%5E1+%2B+%28matrix%282%2C1%2C21%2C21%29%29%2A0.90%5E21%2A0.10%5E0+=+0.36473 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, to 5 decimal places.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );