document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197871>Question 1197871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 750 eggs are randomly sampled from a population where 14% of all eggs are fertilized. Use the normal approximation to the binomial to find the following probabilities rounded to 3 decimal places.\r<BR>\n" );
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document.write( "a. Find the probability that exactly 106 of the eggs are fertilized. Correct\r<BR>\n" );
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document.write( "b. Find the probability that at least 106 of the eggs are fertilized. Incorrect\r<BR>\n" );
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document.write( "c. Find the probability that fewer than 106 of the eggs are fertilized. Incorrect\r<BR>\n" );
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document.write( "d. Find the probability that between 104 and 106, inclusive, of the eggs are fertilized. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831312 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=831312\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Binomial Distribution:<BR>\n" );
document.write( "n = 750, p = .14<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 = 750*.14 = 105<BR>\n" );
document.write( "   sd = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28750%2A.14%2A.86%29 ALIGN=MIDDLE  ALT=\"sqrt%28750%2A.14%2A.86%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9.50<BR>\n" );
document.write( "Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus<BR>\n" );
document.write( "P(x = 106) = normcdf( 105.5,106.5, 105,9.5) = .0417 <BR>\n" );
document.write( "P(x ≥ 106) = normcdf( 105.5, 9999, 105, 9.5)= .4790<BR>\n" );
document.write( "P(x < 106)  = normcdf(-9999, 105.5, 105, 9.5)= .5210<BR>\n" );
document.write( "P( 104 ≤ x ≤  106) =  = normcdf( 103.5,106.5, 105,9.5) = .1255 </SPAN>\n" );
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