document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924880>Question 924880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a particular examination, taken by thousands of candidates, 80 percent of the candidates pass. For a random sample of seven candidates, obtain the probability that:<BR>\n" );
document.write( "ai). Exactly 5 pass the examination \r<BR>\n" );
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document.write( "aii). Fewer than half pass the examination \r<BR>\n" );
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document.write( "For part ai I completed a binomial distribution <BR>\n" );
document.write( "X~B(7, 0.8)<BR>\n" );
document.write( "7C5 x 0.8^5 x 0.2^2 = 0.275 (to 3 sig fig)\r<BR>\n" );
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document.write( "I dont know how to attempt the next one because how do I do half of 7 people? <BR>\n" );
document.write( "Thanks ahead for the response <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 #561142 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561142\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(pass) = .8 , n = 7<BR>\n" );
document.write( "P(x = 5) = 7C5(.8)^5(.2)^2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P(x = 5) = binompdf(7, .8, 5) = .275\r<BR>\n" );
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document.write( ".......<BR>\n" );
document.write( "P(fewer than half pass) = P( x &#8804; 3)   3 would be fewer than half<BR>\n" );
document.write( " Using a TI calculator 0r similarly a Casio fx-115 ES plus<BR>\n" );
document.write( "P( x &#8804; 3) = binomcdf(7, .8,3) = .033<BR>\n" );
document.write( "Highly Recommend Using a Calculator for cumulative binomial Probabilities<BR>\n" );
document.write( "......<BR>\n" );
document.write( "0r by hand..<BR>\n" );
document.write( "P( x &#8804; 4) = P(0) + P(1) +P(2) +P(3)  <BR>\n" );
document.write( "Using: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ ALIGN=MIDDLE  ALT=\"P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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