document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203079>Question 1203079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a manufacturer knows that their items have a normally dostributed lifespan with a mean of 10.2 years and a standard deviation of 2.9 years. if you randomly purchase one item what is the probability it will last longer than 5 years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838336 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "a manufacturer knows that their items have a normally distributed lifespan <BR>\n" );
document.write( "with a mean of 10.2 years and a standard deviation of 2.9 years. <BR>\n" );
document.write( "if you randomly purchase one item what is the probability it will last longer than 5 years?<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "This probability is the area under the specified normal curve on the right \r\n" );
document.write( "of the raw mark z= 5 years.\r\n" );
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document.write( "Use the standard function normalcdf (cumulative normal distribution function)\r\n" );
document.write( "in your regular calculator TI-83 or TI-84\r\n" );
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document.write( "                  z1   z2   mean   SD   <<<---===  formatting pattern\r\n" );
document.write( "    P = normalcdf( 5, 9999, 10.2, 2.9).\r\n" );
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document.write( "It gives the <U>ANSWER</U>  P = 0.9635  (rounded).\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "If you want to get better understanding, use online free of charge calculator <BR>\n" );
document.write( "at web-site https://onlinestatbook.com/2/calculators/normal_dist.html\r<BR>\n" );
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document.write( "It has simple and intuitively clear interface.<BR>\n" );
document.write( "In addition, it shows you a diagram with the area of interest shaded,<BR>\n" );
document.write( "so at any time moment you do understand what you are doing<BR>\n" );
document.write( "and what the calculator does for you, and why.\r<BR>\n" );
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document.write( "After playing with this online calculator, you will learn the subject enough.<BR>\n" );
document.write( "After that, you may switch to ordinary calculator TI-83 or TI-84.\r<BR>\n" );
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document.write( "If you need instructions on using function normalcdf in ordinary calculators, look at this link\r<BR>\n" );
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document.write( "https://www.usu.edu/math/cfairbourn/calculatorhelps/normalcdfti-84.pdf\r<BR>\n" );
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document.write( " </SPAN>\n" );
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