document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328788>Question 328788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rifleman can achieve a \"marksman\" award if he passes a test. He is allowed to fire six shots at a target's bull's eye.If he hits the bull;s eye with at least 5 of his 6 shots he wins a set. He becomes a marksman only if he can repeat the feat 3 times straight,that is,if he can wins three straight sets. If his probability is 0.8 of hitting a bull's eye on any one shot, find the probabilities of his: a) winning a set, and<BR>\n" );
document.write( "                      b)becoming a marksman\r<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 #235581 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=235581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rifleman can achieve a \"marksman\" award if he passes a test. <BR>\n" );
document.write( "He is allowed to fire six shots at a target's bull's eye.<BR>\n" );
document.write( "If he hits the bullseye with at least 5 of his 6 shots he wins a set. <BR>\n" );
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document.write( "P(win a set) = 1 - binomcdf(6,0.8,4) = 6554<BR>\n" );
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document.write( "He becomes a marksman only if he can repeat the feat 3 times straight,that is,if he can wins three straight sets. If his probability is 0.8 of hitting a bull's eye on any one shot, find the probabilities of his: a) winning a set, and<BR>\n" );
document.write( "b)becoming a marksman <BR>\n" );
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document.write( "P(be marksman) = 0.6554^3 = 0.2815<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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