document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191950>Question 191950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Namclear agency is a body tasked with the clearance of all bank guaranteed cheques from all commecial banks in the country. According to the agency it was observed that 1 in 20 cheques in Namibia are fraudulent. suppose you radomly selected 20 cheques from this population of cheques.\r<BR>\n" );
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document.write( "1 what is the probability that no cheque in the samle will be fraudulent?<BR>\n" );
document.write( "2 what is the probability that one cheque will in the sample will fraudulent?<BR>\n" );
document.write( "3 what is the probability that one or fewer cheques in the sample will be fraudulent?\r<BR>\n" );
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document.write( "4 what is the probability that at least 2 cheques in the sample will be fraudulent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144085 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=144085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Namclear agency is a body tasked with the clearance of all bank guaranteed cheques from all commecial banks in the country. According to the agency it was observed that 1 in 20 cheques in Namibia are fraudulent. suppose you radomly selected 20 cheques from this population of cheques.<BR>\n" );
document.write( "P(bad) = 1/20  ; P(good) = 19/20<BR>\n" );
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document.write( "1) what is the probability that no cheque in the sample will be fraudulent?<BR>\n" );
document.write( "P(all good) = (19/20)^20 = 0.3585<BR>\n" );
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document.write( "2 what is the probability that one cheque will in the sample will fraudulent?<BR>\n" );
document.write( "P(x = 1)= 20C1*20)(19/20)^19 = 20*(1/20)*(19/20)^19 = 0.00000000908....<BR>\n" );
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document.write( "3 what is the probability that one or fewer cheques in the sample will be fraudulent? <BR>\n" );
document.write( "P(x = 1 or 0) = P(1) + P(0) = 0.35850000908<BR>\n" );
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document.write( "4 what is the probability that at least 2 cheques in the sample will be fraudulent?<BR>\n" );
document.write( "P(2 <= x <= 20) = 1 - P(x = 1 or x= 0) = 1- 0.35950000908 - 0.64150...<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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