document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452531>Question 452531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A machine that manufactures automobile parts is estimated to produce defective parts 6% of the time. If this estimate is correct, and 6 parts produced by this machine are randomly selected, what is the probability that fewer than 2 turn out to be defective? Round your answer to four decimal places. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311082 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=311082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A machine that manufactures automobile parts is estimated to produce defective parts 6% of the time. If this estimate is correct, and 6 parts produced by this machine are randomly selected, what is the probability that fewer than 2 turn out to be defective? Round your answer to four decimal places. \r<BR>\n" );
document.write( "\n" );
document.write( "------------------<BR>\n" );
document.write( "Binomial Problem with n = 6 and p(defect)=0.06 and p(not defect)= 0.94<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "P(0<= x <=1) = P(x=0 defective) + P(x=1 defective)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 6C0(0.06)^0*(0.94)^6 + 6C1(0.06)*(0.94)^5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= (0.94)^6 + 6*0.06*(0.94)^5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 0.6899 + 0.2642<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "= 0.9541<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===============  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );