document.write( "Question 888693: Hello \r
\n" ); document.write( "\n" ); document.write( "Could someone give me a hand with the following:\r
\n" ); document.write( "\n" ); document.write( "What is the probability that a normal random variable has an outcome within 1 standard deviation of the mean?\r
\n" ); document.write( "\n" ); document.write( "thanks
\n" ); document.write( "Paul
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Algebra.Com's Answer #537583 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the probability will be approximately 68%.
\n" ); document.write( ".6826894809 to be more exact, taken from my TI-84 Plus Calculator.\r
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\n" ); document.write( "\n" ); document.write( "if you want to calculate it from the z-score table, you would do the following:\r
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\n" ); document.write( "\n" ); document.write( "get a z-score table like the following one.\r
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\n" ); document.write( "\n" ); document.write( "http://lilt.ilstu.edu/dasacke/eco148/ztable.htm\r
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\n" ); document.write( "\n" ); document.write( "look up the area to the left of a z score of 1
\n" ); document.write( "look up the area to the left of a z score of -1
\n" ); document.write( "subtract the smaller area from the larger area.
\n" ); document.write( "the result is your answer.\r
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\n" ); document.write( "\n" ); document.write( "in this table...\r
\n" ); document.write( "\n" ); document.write( "z score of 1 gives an area to the left of it of .8413
\n" ); document.write( "z score of -1 gives an area to the left of it of .1587\r
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\n" ); document.write( "\n" ); document.write( ".8413 - .1587 = .6826\r
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\n" ); document.write( "\n" ); document.write( "that's the area under the normal distribution curve that's between a z score of -1 and a z score of 1.\r
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\n" ); document.write( "\n" ); document.write( "there's an online z score calculator that will show you this in pictures.\r
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\n" ); document.write( "\n" ); document.write( "that calculator can be found at the following link:\r
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\n" ); document.write( "\n" ); document.write( "http://davidmlane.com/hyperstat/z_table.html\r
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\n" ); document.write( "\n" ); document.write( "the picture of the area of a z score between -1 and 1 is shown below:\r
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