document.write( "Question 618325: Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean of 205 cm and a standard deviation of 13 cm. What is the probability that a randomly selected high jumper has a personal best between 205 and 231 cm? \n" ); document.write( "

Algebra.Com's Answer #388819 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi, 
\n" );
document.write( "Last year, the personal best high jumps of track athletes in a nearby state 
\n" );
document.write( "were normally distributed with a mean of 205 cm and a standard deviation ofcm.
\n" );
document.write( "P(205< X <231) = 
\n" );
document.write( "For the normal distribution: 
\n" );
document.write( "one  standard deviation from the mean accounts for about 68.2% of the set 
\n" );
document.write( " standard deviations from the mean account for about 95.4%
\n" );
document.write( "and three standard deviations from the mean account for about 99.7%.
\n" );
document.write( " \n" );
document.write( "

\n" );