document.write( "Question 956843: What is the answer to find the probability that her age will fall between 49 and 53. The mean is 50 and the alpha is 5 \n" ); document.write( "

Algebra.Com's Answer #584646 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
I'm assuming you mean sigma (standard deviation) and not alpha.
\n" ); document.write( "Find the z scores.
\n" ); document.write( " $\"z=%28x-mu%29%2Fsigma\"$
\n" ); document.write( " $\"z%5B1%5D=%2849-50%29%2F5\"$
\n" ); document.write( " $\"z%5B1%5D=-0.2\"$
\n" ); document.write( " $\"z%5B2%5D=%2853-50%29%2F5\"$
\n" ); document.write( " $\"z%5B2%5D=0.6\"$
\n" ); document.write( "Find the probabilities corresponding the respective z scores.
\n" ); document.write( " $\"P%5B1%5D=0.42074\"$
\n" ); document.write( " $\"P%5B2%5D=0.72547\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"P=P%5B2%5D-P%5B1%5D\"$
\n" ); document.write( " $\"P=0.72547-0.42074\"$
\n" ); document.write( " $\"P=0.305\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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