document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=347795>Question 347795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacture claims that 5% of the finished items coming off an assembly line each dat are defective. A total of 5,000 items are produced a day, and 3 are randomly selected and inspected.\r<BR>\n" );
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document.write( "a. If the manufacturer's claim is correct, what is the probability all 3 randomly selected items are defective?\r<BR>\n" );
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document.write( "b. If all 3 randomly selected items are defective, would you infer the manufacturer's claim is incorrect? why?\r<BR>\n" );
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document.write( "c. if the manufacturer's claim is correct, what is the probability none of the 3 items are defective?\r<BR>\n" );
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document.write( "d. If none of the 3 items are defective, would you infer that the manufacturer's claim is incorrect? why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #248669 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=248669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacture claims that 5% of the finished items coming off an assembly line each day are defective. A total of 5,000 items are produced a day, and 3 are randomly selected and inspected.<BR>\n" );
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document.write( "a. If the manufacturer's claim is correct, what is the probability all 3 randomly selected items are defective?<BR>\n" );
document.write( "(0.05)^3 = 0.000125 <BR>\n" );
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document.write( "b. If all 3 randomly selected items are defective, would you infer the manufacturer's claim is incorrect? <BR>\n" );
document.write( "why?<BR>\n" );
document.write( "No; the probability that would happen is extremely low.<BR>\n" );
document.write( "The defect rate is probably higher.<BR>\n" );
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document.write( "If the manufacturer's claim is correct, what is the probability none of the 3 items are defective?<BR>\n" );
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document.write( "0.95^3 = 0.8574<BR>\n" );
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document.write( "d. If none of the 3 items are defective, would you infer that the manufacturer's claim is incorrect? <BR>\n" );
document.write( "why?<BR>\n" );
document.write( "His claim has not really been tested.  You would have no reason to<BR>\n" );
document.write( "doubt it.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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