document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202691>Question 1202691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Choose your numbers for N and x. These values for N and x must be original. They must be different than the values chosen by your classmates.\r<BR>\n" );
document.write( "\n" );
document.write( "About 40% of adults in United States have a college degree. Thus, the probability that a person has a college degree is p = 0.40. If N adults are randomly selected, find probabilities that<BR>\n" );
document.write( "n=2, x = 4\r<BR>\n" );
document.write( "\n" );
document.write( "a) exactly x out of selected N adults have a college degree,\r<BR>\n" );
document.write( "\n" );
document.write( "b) less than x out of selected N adults have a college degree, and\r<BR>\n" );
document.write( "\n" );
document.write( "c) greater than x out of selected N adults have a college degree. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837732 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n = 7<BR>\n" );
document.write( "x = 0 to 7<BR>\n" );
document.write( "p(x) = p^x * q^(n-x) * c(n,x).<BR>\n" );
document.write( "the excel spreadsheet shows the calulations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2023/060811.jpg\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for example:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p(x = 3) = .4^3 * .6^4 * c(7,3) which is equal to .4^3 * .6^4 * 35 which is equal to  .290304\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c(7,3) = 7! / (3! * 4!) = (7*6*5*4!) / (3! * 4!) which is equal to (7*6*5) / (3*2*1) which is equal to 35.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p(x < 3) is equal to p(0) + p(1) + p(2)<BR>\n" );
document.write( "p(x > 3) is equal to p(4) + p(5) + p(6) + p(7)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );