document.write( "Question 1131947: Need help with this problem
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\n" ); document.write( "P(-a < z < 0) = 0.1844
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Algebra.Com's Answer #748702 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
P(-a < z < 0) = 0.1844
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document.write( "We want to find the value of -a, so that the area between the\r\n" );
document.write( "green line at -a to the big red line in the middle (the y-axis) \r\n" );
document.write( "equals to 0.1844.\r\n" );
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document.write( "The area under the whole normal bell-shaped curve is 1 (one).\r\n" );
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document.write( "The big red line in the middle (the y-axis) divide the area\r\n" );
document.write( "into two symmetrical parts.  The total area to the right of the\r\n" );
document.write( "y-axis is 0.5. The total area to the left of the y-axis is\r\n" );
document.write( "also 0.5, and the part of the 0.5 to the left of the green line\r\n" );
document.write( "is found by subtracting 0.1844 from 0.5:\r\n" );
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document.write( "0.5-0.1844 = 0.3156 and I will indicate this on the drawing:\r\n" );
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document.write( "If you have a TI-83 or TI-84, which calculates from the far left, find\r\n" );
document.write( "this:\r\n" );
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document.write( "invNorm(0.3156,0,1) and get -0.4800385254\r\n" );
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document.write( "Or if you use the kind of normal table at this site:\r\n" );
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document.write( "https://math.arizona.edu/~rsims/ma464/standardnormaltable.pdf\r\n" );
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document.write( "which reads from the far left, find the nearest entry in the body of \r\n" );
document.write( "the table to 0.3156, which is 0.31561 and read -0.48 in the z-column.\r\n" );
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document.write( "Or if you use the kind of normal table at this site:\r\n" );
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document.write( "https://www.mathsisfun.com/data/standard-normal-distribution-table.html\r\n" );
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document.write( "which reads from the middle, find the value 0.1844 in the body of the\r\n" );
document.write( "table and see that it corresponds to a z-value of 0.48, but reading\r\n" );
document.write( "from the center to the left is the same as reading from the center to \r\n" );
document.write( "right, so interpret that as -0.48.\r\n" );
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document.write( "Edwin
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