document.write( "Question 958766: Suppose a normal distribution has a mean of 38 and a standard deviation of 2. What is the probability that a data value is between 36 and 41? Round your answer to the nearest tenth of a percent. \n" ); document.write( "

Algebra.Com's Answer #585963 by Fombitz(32388) $\"\"$ $\"About$

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Find the z scores.
\n" ); document.write( " $\"z=%28x-mu%29%2Fsigma\"$
\n" ); document.write( " $\"z%5B1%5D=%2836-38%29%2F2=-1\"$
\n" ); document.write( " $\"z%5B2%5D=%2841-38%29%2F2=1.5\"$
\n" ); document.write( "Find the corresponding proababilities,
\n" ); document.write( " $\"P%5B1%5D=0.158655\"$
\n" ); document.write( " $\"P%5B2%5D=0.933193\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"P=P%5B2%5D-P%5B1%5D\"$
\n" ); document.write( " $\"P=0.775\"$ \n" ); document.write( "

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