document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197870>Question 1197870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 71% of all voters favor Proposition A and a random sample of 200 voters is taken. Use the normal approximation to the bonomial to find the following probabilities rounded to 3 decimal places.\r<BR>\n" );
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document.write( "a. Find the probability that more than 140 of the voters favor Proposition A. Incorrect\r<BR>\n" );
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document.write( "b. Find the probability that at most 150 of the voters favor Proposition A. Incorrect\r<BR>\n" );
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document.write( "c. Find the probability that between 141 and 149, inclusive, of the voters favor Proposition A.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831313 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=831313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Binomial Distribution:<BR>\n" );
document.write( "n = 200, p = .71<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( "Using the normal approximation:<BR>\n" );
document.write( " mean = 200*.71 = 142<BR>\n" );
document.write( "   sd = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28200%2A.71%2A.29%29 ALIGN=MIDDLE  ALT=\"sqrt%28200%2A.71%2A.29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 6.42<BR>\n" );
document.write( "Using hand-held TI or similarly an inexpensive calculator like an Casio fx-115 ES plus<BR>\n" );
document.write( "P(x > 140 ) = normpdf(140.5,9999 142, 6.42)= .592<BR>\n" );
document.write( "P(x ≤ 150) = normcdf(-9999, 150.5,142, 6.42)= .907<BR>\n" );
document.write( "P( 141 ≤ x ≤ 149) =  = normcdf( 140.5,149.5, 142, 6.42) = .471 </SPAN>\n" );
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