document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050720>Question 1050720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 46&#8203;% <BR>\n" );
document.write( "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; eight, (b) at least&#8203; eight, and&#8203; (c) less than eight. If&#8203; convenient, use technology to find the probabilities. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #666347 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=666347\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We use the binary probability formula<BR>\n" );
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document.write( "Probability of k events in n occurrences = nCk * p^k * q^(n-k), where p is probability of event occurring, q = 1-p, nCk is combination of n items taken k at a time<BR>\n" );
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document.write( "for our example, p = 0.46, q = 0.54, n=10<BR>\n" );
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document.write( "a) Probability( k = 8 ) = 0.026<BR>\n" );
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document.write( "b) Probability( k > or = 8 ) = 0.032<BR>\n" );
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document.write( "c) Probability( k < 8 ) = 0.968<BR>\n" );
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