document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038090>Question 1038090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 44% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is&#8203; (a) exactly&#8203; five, (b) at least&#8203; six, and&#8203; (c) less than four. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #652823 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=652823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 10C5(0.44)^5*(0.56)^5=0.2289<BR>\n" );
document.write( "fewer than 4<BR>\n" );
document.write( "10C3(0.44^3)(0.56^7)=0.1765<BR>\n" );
document.write( "10C2(0.44^2)(0.56^8)=0.0843<BR>\n" );
document.write( "10C1(0.44^1)(0.56^9)=0.0238<BR>\n" );
document.write( "for 0, it is 0.56^10=0.0030<BR>\n" );
document.write( "That is 0.2876<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "4 or more is therefore 0.7124<BR>\n" );
document.write( "exactly 4 is 10C4(0.44^4)(0.56^6)=0.2427<BR>\n" );
document.write( "exactly 5 is 0.2289 from above<BR>\n" );
document.write( "So at least 6 is 0.7124-0.2427-0.2289=0.2408 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );