Hi,
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 ofcm.
P(205< X <231) =
For the normal distribution:
one standard deviation from the mean accounts for about 68.2% of the set
standard deviations from the mean account for about 95.4%
and three standard deviations from the mean account for about 99.7%.