document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74150>Question 74150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an olymp[ic archer is able to hit the bullseye 80% of the time.  assume each shot is independent of the othjers.  if she shoots 6 arrows, whats the probability of the result below?\r<BR>\n" );
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document.write( "a) the 1st bullseye comes on the 3rd arrow<BR>\n" );
document.write( "b)she misses the bullseye at least once<BR>\n" );
document.write( "c)the 1st bullseye comes on the 4th or 5th arrow<BR>\n" );
document.write( "d)gets exactly 4 bullseyes<BR>\n" );
document.write( "e)gets at least 4 bullseyes<BR>\n" );
document.write( "f)gets at most 4 bullseyes </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53178 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=53178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an olymp[ic archer is able to hit the bullseye 80% of the time. assume each shot is independent of the othjers. if she shoots 6 arrows, whats the probability of the result below?<BR>\n" );
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document.write( "P(hit)=0.8<BR>\n" );
document.write( "P(miss)=0.2 <BR>\n" );
document.write( "a) the 1st bullseye comes on the 3rd arrow<BR>\n" );
document.write( "He has to miss,miss,hit<BR>\n" );
document.write( "P(mmh)=(0.2)^2(0.8) =0.032<BR>\n" );
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document.write( "b)she misses the bullseye at least once<BR>\n" );
document.write( "P(at least one hit) = 1 - P(all misses)<BR>\n" );
document.write( "= 1 - 0.2^6= 1-(6,4 x 10^-5)= 0.999936....<BR>\n" );
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document.write( "c)the 1st bullseye comes on the 4th or 5th arrow<BR>\n" );
document.write( "These are disjoint events, so:<BR>\n" );
document.write( "P(4th or 5th) = 0.2^3*0.8+0.2^4*0.8 = 0.00768<BR>\n" );
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document.write( "d)gets exactly 4 bullseyes<BR>\n" );
document.write( "This is binomial with n=6,p=.8,x=4<BR>\n" );
document.write( "If you have a TI calculator use binompdf(6,0.8,4)=0.24576<BR>\n" );
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document.write( "e)gets at least 4 bullseyes<BR>\n" );
document.write( "Use [1 - binomcdf(6,0.8,3)]=0.90112...<BR>\n" );
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document.write( "f)gets at most 4 bullseyes<BR>\n" );
document.write( "Use binomcdf(6,0.8,4)=0.34464<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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