document.write( "Question 1207170: Here is the full question:\r
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document.write( "Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If P(z > d) = 0.9926, find d.\r
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document.write( "d = \n" );
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Algebra.Com's Answer #844888 by Theo(13342)![]() ![]() You can put this solution on YOUR website! as i read this, p(z > d) is looking for the probability that the z-score of z is greater than a z-score of d.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if p(z > d) = .9926, then you are looking for the area of .9926 to the right of a z-score of d.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "based on my ti-84 plus calculator, d would be equal to a z-score of -2.437236409.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the area to the right of a z-score of -2.437236409 is equal to .9926.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that is the probability that your z-score will be greater than a z=score of -2.437236409.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's what it looks like on a z-score calculator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note that most tables give you the area to the left of the z-score.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you want the area to the right of the z-score, you take the area to the left of the z-score and subtract it from 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "area to the right of a z-score that is equal to .9926 is the the area of .0074 to the left of the same z-score.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's what the area to the left of the z-score being equal to .0074 looks like.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |