SOLUTION: Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean o 205 cm and a standard deviation of 13 cm. What is the probabilit

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Question 618333: Last year, the personal best high jumps of track athletes in a nearby state were normally distributed with a mean o 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): You can put this solution on YOUR website!
 
Hi, Previously Posted
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%.

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