SOLUTION: 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 probabili
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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? Answer by ewatrrr(24785) (Show Source):
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%.
