document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=296215>Question 296215</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To verify the accuracy of their accounting entries , a company uses auditors for verification on a regular basis . the company's employees make erroneous entries 8% of the time . Suppose that an auditor randomly checks four entries .\r<BR>\n" );
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document.write( "1) find the probability distribution for Y , the number of erros detected by the auditor.<BR>\n" );
document.write( "2) find the probability the auditor will detect more than one error ?\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 #213509 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=213509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To verify the accuracy of their accounting entries , a company uses auditors for verification on a regular basis . the company's employees make erroneous entries 8% of the time . Suppose that an auditor randomly checks four entries .<BR>\n" );
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document.write( "Binomial Problem with n=4 and p=0.08<BR>\n" );
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document.write( "1) find the probability distribution for Y , the number of errors detected by the auditor.<BR>\n" );
document.write( "General Form: P(x=k) = 4Ck(0.08)^k*(0.92)^(n-k)<BR>\n" );
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document.write( "P(x=0) = 4C0(0.08)^0*(0.92)^4 = 0.7164<BR>\n" );
document.write( "P(x=1) = 0.2492<BR>\n" );
document.write( "P(x=2) = 0.0325<BR>\n" );
document.write( "P(x=3) = 0.0019<BR>\n" );
document.write( "P(x=4) = 0.00004<BR>\n" );
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document.write( "2) find the probability the auditor will detect more than one error ?<BR>\n" );
document.write( "P(2<= x <=4) = \"add P(x=4),P(x=3), and P(x=2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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