document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=913776>Question 913776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 60% of all households own VCRs, what is the probability that 11 households are selected at random, more than 7 will own VCRs? With explanation please. Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554715 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=554715\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(owns VCR) = .60, n = 11<BR>\n" );
document.write( "P(x > 7) =1- binomcdf(11, .60, 7) = 1 - .7037 = .2963 Using TI<BR>\n" );
document.write( "0r<BR>\n" );
document.write( "By hand...<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;\" > <BR>\n" );
document.write( "p and q are the probabilities of success and failure respectively. <BR>\n" );
document.write( "In this case p = .6 & q are = .4, n = 11 <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;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "P(x > 7) = P(8) + P(9) + P(10) + P(11) <BR>\n" );
document.write( "P(x > 7) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11C8%28.6%29%5E8%28.4%29%5E3+%2B+11C9%28.6%29%5E9%28.4%29%5E2+%2B+11C10%28.6%29%5E10%28.4%29%5E1+%2B+11C11%28.6%29%5E11%28.4%29%5E0+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "P(x >7) = .1774 + .0887 + .0266 + .0036 = .2963 </SPAN>\n" );
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