document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822162>Question 822162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is known that one out of every five tax returns will contain errors and are classed as faulty. Calculate the probability that in a sample of five tax returns (i) none are faulty (ii) at least one is faulty </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #494713 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=494713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  It is known that one out of every five tax returns will contain errors and are classed as faulty. ------<BR>\n" );
document.write( "Binomial Problem with n = 5 and p(faulty) = 1/5<BR>\n" );
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document.write( "Calculate the probability that in a sample of five tax returns <BR>\n" );
document.write( "(i) none are faulty <BR>\n" );
document.write( "P(x = 0) = (4/5)^5 = 0.3277<BR>\n" );
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document.write( "(ii) at least one is faulty<BR>\n" );
document.write( "P(x >=1) = 1 - P(x = 0) = 1 - (4/5)^5 = 0.6723<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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