document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761258>Question 761258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events. <BR>\n" );
document.write( "a) P(heads on 1995 quarter only)=______?<BR>\n" );
document.write( "b) P(heads on all 10 quarters)=_______?<BR>\n" );
document.write( "c) P(exactly 2 heads)=______?<BR>\n" );
document.write( "d) P(at least three heads)=______?\r<BR>\n" );
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document.write( "All answers must be in reduced fractions. I could really use your help.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463135 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=463135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events.<BR>\n" );
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document.write( "Binomial Problems with n = 10 and p(head) = 1/2<BR>\n" );
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document.write( "a) P(heads on 1995 quarter only)______?<BR>\n" );
document.write( "# of ways to succeed: 1*2^9<BR>\n" );
document.write( "# of possible outcomes: 2^10<BR>\n" );
document.write( "P(heads on 1995 quarter only) = (1*2^9)/(2^10) = 1/2<BR>\n" );
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document.write( "b) P(heads on all 10 quarters)= (1/2)^10 = 1/1024<BR>\n" );
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document.write( "c) P(exactly 2 heads)= 10C2(1/2)^10 = 45/1024<BR>\n" );
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document.write( "d) P(at least three heads)= 1 - binomcdf(10,1/2,2) = 0.0547<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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