document.write( "Question 1082021: You were told that the mean score on a statistics exam is 75 with the scores normally distributed. In addition, you know the probability of a score between 55 and 60 is 4.41% and that the probability of a score greater than 90 is 6.68%. The middle 86.64% of the students will score between which two scores? \n" ); document.write( "
Algebra.Com's Answer #696098 by Boreal(15235)\"\" \"About 
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From the table, the 0.9332 probability is at z=1.50
\n" ); document.write( "therefore, the probability of a score >90 is probability of z>1.50.
\n" ); document.write( "z=(x-mean)/sd
\n" ); document.write( "1.5=15/sd
\n" ); document.write( "1.5 sd=15
\n" ); document.write( "sd=10
\n" ); document.write( "Between 55 and 60 is z=-2 to z=-1.5. From the table, that is 0.0441, as it should be
\n" ); document.write( "The middle 86.64% leaves 13.32% on either side or 6.66%
\n" ); document.write( "To confirm, on the calculator, this is between z of -1.5 and z of +1.5 or 15 on either side of the mean.
\n" ); document.write( "Answer (60, 90)
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