document.write( "Question 364309: 1.) Find the value of z such that approximately 30.78% of the distribution lies between it and the mean. 2.) x has a normal disrtibution with a mean of 80.0 and a standard deviation of 3.5. Find the following probabilities. (A). P(x < 75.0) (B). P(78.0 < x < 83.0) (C). P(x > 85.0) \n" ); document.write( "
Algebra.Com's Answer #259744 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I'll show you now how to do it on the TI-83 or TI-84 calculator.\r\n" );
document.write( "If you have to do it the long way, by z-score and normal curve tables,\r\n" );
document.write( "let me know and I will show you how to do it the long way.  Be sure to\r\n" );
document.write( "let me know if your table has negative numbers on the z-values or only\r\n" );
document.write( "positive numbers.  \r\n" );
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document.write( "1.) Find the value of z such that approximately 30.78% of the distribution lies\r\n" );
document.write( "between it and the mean. 2.) x has a normal disrtibution with a mean of 80.0\r\n" );
document.write( "and a standard deviation of 3.5. Find the following probabilities. \r\n" );
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document.write( "(A). P(x < 75.0) \r\n" );
document.write( "\r\n" );
document.write( "On your TI-83 or T-84, \r\n" );
document.write( "\r\n" );
document.write( "get this on the screen:\r\n" );
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document.write( "normalcdf(-99999999,75.0,80.0,3.5)\r\n" );
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document.write( "To get normalcdf( press 2ND STAT 2\r\n" );
document.write( "The comma key is just above the 7 key. \r\n" );
document.write( "\r\n" );
document.write( "Press ENTER and read \r\n" );
document.write( "\r\n" );
document.write( ".0765637714\r\n" );
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document.write( "(B). P(78.0 < x < 83.0) \r\n" );
document.write( "\r\n" );
document.write( "On your TI-83 or T-84, \r\n" );
document.write( "\r\n" );
document.write( "get this on the screen:\r\n" );
document.write( "\r\n" );
document.write( "normalcdf(78.0,83.0,80.0,3.5)\r\n" );
document.write( "\r\n" );
document.write( "To get normalcdf( press 2ND STAT 2\r\n" );
document.write( "The comma key is just above the 7 key. \r\n" );
document.write( "\r\n" );
document.write( "Press ENTER and read \r\n" );
document.write( "\r\n" );
document.write( ".5204625387\r\n" );
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document.write( "(C). P(x > 85.0)\r\n" );
document.write( "\r\n" );
document.write( "On your TI-83 or T-84, \r\n" );
document.write( "\r\n" );
document.write( "get this on the screen:\r\n" );
document.write( "\r\n" );
document.write( "normalcdf(85.0,99999999,80.0,3.5)\r\n" );
document.write( "\r\n" );
document.write( "To get normalcdf( press 2ND STAT 2\r\n" );
document.write( "The comma key is just above the 7 key. \r\n" );
document.write( "\r\n" );
document.write( "Press ENTER and read \r\n" );
document.write( "\r\n" );
document.write( ".0765637714\r\n" );
document.write( "\r\n" );
document.write( "Edwin
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