document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515232>Question 515232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Trowbridge Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspector for this company believes that a particular process is out of control. Normally, only 5% of all cases are deemed defective due to discolorations.  If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly? What is the probability that there will be exactly 1 defective case? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343850 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=343850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Normally, only 5% of all cases are deemed defective due to discolorations. <BR>\n" );
document.write( "If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly? <BR>\n" );
document.write( "What is the probability that there will be exactly 1 defective case?<BR>\n" );
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document.write( "Binomial Problems with n = 6 and p = 0.05<BR>\n" );
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document.write( "P(x = 0) = 0.95^6 = 0.7351<BR>\n" );
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document.write( "P(x = 1) = 6C1(0.05)^(0.95)^5 = 0.2321<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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