document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508918>Question 508918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> With one method of the procedure called acceptance sampling, a sample of items is randomly selected without replacement , and the entire batch is rejected if there is at least one defect. The Newport Gauge Company has just manufactured a batch of aircraft altimeters and 3% are defective.\r<BR>\n" );
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document.write( "Question: If the batch contains 4000 altimeters and 100 of them are selected without replacement and tested, what is the probability that the entire batch will be rejected? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341270 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=341270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With one method of the procedure called acceptance sampling, a sample of items is randomly selected without replacement, and the entire batch is rejected if there is at least one defect. <BR>\n" );
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document.write( "The Newport Gauge Company has just manufactured a batch of aircraft altimeters and 3% are defective. <BR>\n" );
document.write( "Question: If the batch contains 4000 altimeters and 100 of them are selected without replacement and tested, what is the probability that the entire batch will be rejected?<BR>\n" );
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document.write( "P(reject) = P(>=1 defect in 100) <BR>\n" );
document.write( "= 1 - P(no defects in 100)<BR>\n" );
document.write( "= 1 - (0.97)^100 <BR>\n" );
document.write( "= 1 - 0.0476 <BR>\n" );
document.write( "= 0.9524<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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