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math 115 statistics

The overhead reach distances of adult females are normally distributed with a mean of 197.5cm and a standard deviation of 8.3cm.

a. Find the probability that an individual distance is greater than 207.50 cm. 

b. Find the probability that the mean for 25 randomly selected distances is greater than  

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

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