document.write( "Question 314085: The heights of a certain species of plant are normally distributed, with mean 22 cm and standard deviation 3 cm. What is the probability that a plant chosen at random will be between 19.75 and 24.25 cm tall? \n" ); document.write( "

Algebra.Com's Answer #224555 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find the z-scores for $\"19.75\"$ and $\"24.25\"$ .
\n" ); document.write( " $\"z%281%29=%2819.75-22%29%2F3=-0.75\"$
\n" ); document.write( " $\"z%282%29=%2824.25-22%29%2F3=0.75\"$
\n" ); document.write( " $\"P%281%29=0.2266\"$
\n" ); document.write( " $\"P%282%29=0.7734\"$
\n" ); document.write( "P( $\"19.75\"$ < $\"h\"$ < $\"24.25\"$ ) = $\"+P%282%29-P%281%29=0.5467\"$ \n" ); document.write( "

\n" );