document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056956>Question 1056956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer of window frames knows from past experience that 10 per cent of the production will<BR>\n" );
document.write( "have some type of minor defect that will require adjustment. Suppose 30 windows are selected at<BR>\n" );
document.write( "random:<BR>\n" );
document.write( "a. How many window frames would you expect to have minor defects?<BR>\n" );
document.write( "b. What is the probability that more than 3 window frames will need minor adjustments? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672034 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=672034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Expected value is 0.10*30=3 window frames x*(p(x))<BR>\n" );
document.write( "probability of 0 is 0.90^30=0.0424<BR>\n" );
document.write( "probability of 1 is 30*0.9^29*0.10=0.1413<BR>\n" );
document.write( "probability of 2 is 435*0.9^28*0.10^2=0.2277<BR>\n" );
document.write( "probability of 3 is 4060*0.9^27*0.1^3=0.2361<BR>\n" );
document.write( "They add to 0.6051<BR>\n" );
document.write( "More than 3 is 1-0.6051=0.3949, using the complement rule. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );