document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=913201>Question 913201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that a pen drawn at random from a box of pen is defective is 0.1. If a sample of 6 pens is taken, the probability of<BR>\n" );
document.write( "1) no defective pens<BR>\n" );
document.write( "2) 5 or 6 defective pens<BR>\n" );
document.write( "3) Less than 3 defective pens </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554371 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=554371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = .1, n = 6<BR>\n" );
document.write( "1) P(x = 0) = binompdf(6, .1, 0) 0r (.9)^6<BR>\n" );
document.write( "2) P(x = 5 or 6 defective pens) = binompdf(6, .1, 5) + binompdf(6, .1, 6)<BR>\n" );
document.write( "3) P(Less than 3 defective pens) = binomcdf(6, .1, 2)<BR>\n" );
document.write( "..........<BR>\n" );
document.write( "Or by hand Using <BR>\n" );
document.write( "<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;\" > <BR>\n" );
document.write( "p and q are the probabilities of success and failure respectively. <BR>\n" );
document.write( "In this case p = .1 & q  = .9 , n = 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29 ALIGN=MIDDLE  ALT=\"nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "............For ex<BR>\n" );
document.write( "3) P(Less than 3 defective pens) = P(0) + P(1)+ P(2) \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );