document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=835861>Question 835861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain store, there is a 0.04 probability that the scanned price in the bar code scanner will not match the advertised price. The cashier scans 874 items.\r<BR>\n" );
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document.write( "(a-1)	What is the expected number of mismatches? (Round your answer to nearest whole number.)\r<BR>\n" );
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document.write( "  Expected number	I know it is 34.96  \r<BR>\n" );
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document.write( "(a-2)	<BR>\n" );
document.write( "What is the standard deviation? (Use rounded expected number for the calculation of standard deviation. Round your final answer to 4 decimal places.)\r<BR>\n" );
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document.write( "  Standard deviation	  ???????????/\r<BR>\n" );
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document.write( "(b)	<BR>\n" );
document.write( "What is the probability of at least 29 mismatches? (Round the value of z to 2 decimals. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)\r<BR>\n" );
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document.write( "  Probability	  ?????\r<BR>\n" );
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document.write( "(c)	<BR>\n" );
document.write( "What is the probability of more than 43 mismatches? (Round the value of z to 2 decimals. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)\r<BR>\n" );
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document.write( "  Probability	  I know this one is .0740 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503764 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=503764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a certain store, there is a 0.04 probability that the scanned price in the bar code scanner will not match the advertised price. The cashier scans 874 items.<BR>\n" );
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document.write( "Note: Binomial problem with n = 874 and p(mismatch) = 0.04<BR>\n" );
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document.write( "(a-1) What is the expected number of mismatches? (Round your answer to nearest whole number.)<BR>\n" );
document.write( "mean = expected number = 874*0.04 = 34.96 <BR>\n" );
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document.write( "(a-2) <BR>\n" );
document.write( "What is the standard deviation? (Use rounded expected number for the calculation of standard deviation. Round your final answer to 4 decimal places.) <BR>\n" );
document.write( "Standard deviation = sqrt(npq) = sqrt(34.96*0.96) = 5.79<BR>\n" );
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document.write( "(b) <BR>\n" );
document.write( "What is the probability of at least 29 mismatches? (Round the value of z to 2 decimals. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.)<BR>\n" );
document.write( "Comment: I can't tell what your C-2 Table looks like.<BR>\n" );
document.write( "The problem can be worked as a Binomial or as a Normal<BR>\n" );
document.write( "approximation to a Binomial.<BR>\n" );
document.write( "If the latter:<BR>\n" );
document.write( "P(29<= x <=874) = P(28.5<= x <=874.5)<BR>\n" );
document.write( "z(28.5) = (28.5-34.96)/5.79 = -1.12<BR>\n" );
document.write( "z(874.5)= (874.5-34.96)/5.79 = hugh<BR>\n" );
document.write( "Probability = p(z > -1.12) = 0.8677<BR>\n" );
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document.write( "(c) <BR>\n" );
document.write( "What is the probability of more than 43 mismatches? (Round the value of z to 2 decimals. Use Appendix C-2 to find probabilities. Round your final answer to 4 decimal places.) <BR>\n" );
document.write( "Probability = P(z > 1.2850) = 0.0994<BR>\n" );
document.write( "Your answer was 0.0740\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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