document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099643>Question 1099643</A>: <I><SPAN STYLE=\"word-break: break-all;\">  For the quality control purposes, suppose that a sample of 1600 tires of the same type is obtained at random from an ongoing production process in which 8% of all such tires produced are defective. What is the probability that in such a sample not more than 150 tires will be defective? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714196 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean=np=1600*0.08=128<BR>\n" );
document.write( "variance is np(1-p)=128*0.92=117.76<BR>\n" );
document.write( "sd is sqrt (v)=10.85<BR>\n" );
document.write( "not more than 150 is 150.5 with continuity correction factor<BR>\n" );
document.write( "z=(150.5-128)/10.85<BR>\n" );
document.write( "z=22.5/10.85<BR>\n" );
document.write( "z is less than or equal to +1.08<BR>\n" );
document.write( "0.8599 is the probability.<BR>\n" );
document.write( "Makes intuitive sense since expected value is 128 and problem asks for probability under 150. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );