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The length of the human index finger is normally distributed with mean 6 cm and standard deviation 0.5 cm. If 9 people are chosen at

The length of the human index finger is normally distributed with mean 6 cm and standard deviation 0.5 cm. If 9 people are chosen at random, then the probability that the average length of their index fingers is between 5.75 cm and 6.47 cm is . (Round your answer to four decimal places.)

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