document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448325>Question 448325</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose we toss a fair coin eight times.determine the following probabilities for a binomial distribution with parameters n=8 and p=.5:<BR>\n" );
document.write( "a.) the probability that excatly two of the eight tosses result in heads.<BR>\n" );
document.write( "b) the probability that at most two of the eight tosses result in heads.<BR>\n" );
document.write( "c) the probability that excatly five of the eight tosses result in heads.<BR>\n" );
document.write( "d) the probability that at least two of the eight tosses result in heads. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308498 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose we toss a fair coin eight times.determine the following probabilities for a binomial distribution with parameters n=8 and p=.5:<BR>\n" );
document.write( "a.) the probability that exactly two of the eight tosses result in heads.<BR>\n" );
document.write( "Ans: 8C2(1/2)^8 = 28/256<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "b) the probability that at most two of the eight tosses result in heads.<BR>\n" );
document.write( "Ans: binomcdf(8,0.5,2) = 0.1445<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "c) the probability that exactly five of the eight tosses result in heads.<BR>\n" );
document.write( "Ans: 8C5(1/2)^8 = 56/256<BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "d) the probability that at least two of the eight tosses result in heads.<BR>\n" );
document.write( "Ans: 1 - binomcdf(8,0.5,1) = 0.9648<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );