document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888341>Question 888341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bank’s head office is concerned about the accuracy of the reports being submitted by the bank’s newest branch. The head office observes that 10% of reports from the newest branch contain an error.<BR>\n" );
document.write( "During a given week, the head office receives 5 reports from the newest branch. What is the probability that exactly one contains an error? What is the probability that at least one contains an error? <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 #537290 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=537290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bank’s head office is concerned about the accuracy of the reports being submitted by the bank’s newest branch. The head office observes that 10% of reports from the newest branch contain an error.<BR>\n" );
document.write( " During a given week, the head office receives 5 reports from the newest branch. <BR>\n" );
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document.write( "Binomial Problem with n = 5 and p(error) = 0.1<BR>\n" );
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document.write( "What is the probability that exactly one contains an error? <BR>\n" );
document.write( "P(x = 1) = 5C1*0.1*0.9^4 = binompdf(5,0.1,1) = 0.3281<BR>\n" );
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document.write( "What is the probability that at least one contains an error?<BR>\n" );
document.write( "P(at least one) = 1 - P(none)<BR>\n" );
document.write( "P(at least one) = 1 - P(x = 0) = 1 - 0.9^5 = 0.6126<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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