document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=801848>Question 801848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. \r<BR>\n" );
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document.write( "with n= 80 and p= 0.40,estimate P (fewer than 8) </SPAN>\n" );
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document.write( "with n= 80 and p= 0.40,estimate P (fewer than 8)<BR>\n" );
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document.write( "mean = np = 80*0.4 = 32<BR>\n" );
document.write( "std: sqrt(npq) = sqrt(32(0.6)) = 4.3818<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Binomial:: P(x < 8)<BR>\n" );
document.write( "Normal approx:: P(0<= x <= 8.5)<BR>\n" );
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document.write( "z(0) = (0-32)/4.3818 = -7.3029<BR>\n" );
document.write( "z(8.5) = (8.5-32)/4.3818 = -5.36<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(x < 8.5)= P(-7.3029 < z < -5.36)<BR>\n" );
document.write( "= normalcdf(-7.3029,-5.36) = 4.1x10^-8<BR>\n" );
document.write( "===================<BR>\n" );
document.write( " </SPAN>\n" );
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