document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193652>Question 1193652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that The lengths of pregnancies are normally distributed with a mean of 271 days and a standard deviation of 10 days. how do I find the percentage a pregnancy that are longer than 250 4 days for my immediate computations used for or more decimal places give my final answer to two decimal places. </SPAN>\n" );
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document.write( "I'm assuming you meant to write 250.4 instead of \"250 4\" with a space between the 250 and 4.\r<BR>\n" );
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document.write( "Given info:<BR>\n" );
document.write( "mu = 271 = population mean of the length of pregnancies in days<BR>\n" );
document.write( "sigma = 10 = population standard deviation of the length of pregnancies in days\r<BR>\n" );
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document.write( "Convert x = 250.4 to its corresponding z score<BR>\n" );
document.write( "z = (x-mu)/sigma<BR>\n" );
document.write( "z = (250.4-271)/10<BR>\n" );
document.write( "z = -2.06\r<BR>\n" );
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document.write( "Now you can use a calculator like this one<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://onlinestatbook.com/2/calculators/normal_dist.html\">https://onlinestatbook.com/2/calculators/normal_dist.html</a><BR>\n" );
document.write( "to find that P(Z > -2.06) = 0.9803 approximately which converts to 98.03%\r<BR>\n" );
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document.write( "Or you can use a Z table like shown here<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.ztable.net/\">https://www.ztable.net/</a><BR>\n" );
document.write( "and the table says that P(Z < -2.06) = 0.01970<BR>\n" );
document.write( "Therefore, <BR>\n" );
document.write( "P(Z > -2.06) = 1 - P(Z < -2.06)<BR>\n" );
document.write( "P(Z > -2.06) = 1 - 0.01970<BR>\n" );
document.write( "P(Z > -2.06) = 0.9803<BR>\n" );
document.write( "This then converts back to<BR>\n" );
document.write( "P(X > 250.4) = 0.9803<BR>\n" );
document.write( "To show that about 98.03% of all pregnancies are longer than 250.4 days.\r<BR>\n" );
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document.write( "If you prefer to use a TI calculator, then you'll hit the button labeled \"2ND\" and then hit the \"VARS\" key to bring up the stats function menu. Scroll down to \"normalcdf\".<BR>\n" );
document.write( "You can type in something like<BR>\n" );
document.write( "normalcdf(-2.06, 99)<BR>\n" );
document.write( "The 99 is to set up some upper boundary that is fairly large\r<BR>\n" );
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document.write( "Side note: With the calculator options, technically we don't need to convert to a z score because both calculator options allow us to change the mu and sigma values. Though it's often standard practice to translate to a standard normal z score and use mu = 0 and sigma = 1.\r<BR>\n" );
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document.write( "Answer: <font color=red>Approximately 98.03%</font><BR>\n" );
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