document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197869>Question 1197869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a 8% chance of a certain type of light bulb being defective and there are 500 of these bulbs randomly sampled. Use the normal approximation to the binomial to find the following probabilities rounded to 3 decimal places.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a. Find the probability that fewer than 50 of the bulbs are defective.\r<BR>\n" );
document.write( "\n" );
document.write( "b. Find the probability that more than 50 of the bulbs are defective.\r<BR>\n" );
document.write( "\n" );
document.write( "c. Find the probability that between 40 and 50, inclusive, of the bulbs are defective.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831314 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Binomial Distribution:<BR>\n" );
document.write( "n = 500 ,  p = .08<BR>\n" );
document.write( "Using the normal approximation and the NOted continuity correction factor.<BR>\n" );
document.write( "(the continuity correction factor used as a Binomial Distribution is not continuous)<BR>\n" );
document.write( " mean =500*.08= 40<BR>\n" );
document.write( "   sd = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28500%2A.08%2A.92%29 ALIGN=MIDDLE  ALT=\"sqrt%28500%2A.08%2A.92%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6.07<BR>\n" );
document.write( "Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus<BR>\n" );
document.write( "P(x < 50 ) =P(x < 49.5 ), normpdf(-9999 49.5, 40, 6.07)= .941<BR>\n" );
document.write( "P(x > 50) = P( x > 50.5) = normpdf(50.5,9999, 40, 6.07) = .042<BR>\n" );
document.write( "P( 40 ≤ x ≤ 50) =  = normcdf( 39.5,50.5, 40, 6.07) = .491 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );