document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266372>Question 266372</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company manufactures calculators in batches of 45 and claims that the rate of defects is 4%. Find the probability of getting exactly 2 defects in a batch of 45 if the rate of defects is 4%.  If a store receives a batch of 45 calculators and finds that there are 2 defective calculators, do they have any reason to doubt the company's claimed rate of defects?\r<BR>\n" );
document.write( "\n" );
document.write( "Possible answers:<BR>\n" );
document.write( " <BR>\n" );
document.write( "a. 0.263; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.\r<BR>\n" );
document.write( "\n" );
document.write( " b. 0.548; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.\r<BR>\n" );
document.write( "\n" );
document.write( " c. 0.0166; Yes. If the rate of defects is really 4%, the probability of finding 2 defects in a batch of 45 calculators is very small.\r<BR>\n" );
document.write( "\n" );
document.write( " d. 0.274; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195756 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=195756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company manufactures calculators in batches of 45 and claims that the rate of defects is 4%. Find the probability of getting exactly 2 defects in a batch of 45 if the rate of defects is 4%.<BR>\n" );
document.write( "Binomial Problem:<BR>\n" );
document.write( "n = 45 ; p = 0.04 ; x=2<BR>\n" );
document.write( "P(x=2) = 45C2(0.4)^2(0.96)^43 = 0.2738<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Ans: d<BR>\n" );
document.write( "----------- <BR>\n" );
document.write( "If a store receives a batch of 45 calculators and finds that there are 2 defective calculators, do they have any reason to doubt the company's claimed rate of defects?<BR>\n" );
document.write( "No, the probability is better than 27% that 2 defects would be found in<BR>\n" );
document.write( "a batch of 45.<BR>\n" );
document.write( "==========================================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========================================================================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "Possible answers:\r<BR>\n" );
document.write( "\n" );
document.write( "a. 0.263; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators. <BR>\n" );
document.write( "b. 0.548; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators. <BR>\n" );
document.write( "c. 0.0166; Yes. If the rate of defects is really 4%, the probability of finding 2 defects in a batch of 45 calculators is very small. <BR>\n" );
document.write( "d. 0.274; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 45 calculators.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );