The overhead reach distances of adult females are normally distributed with a mean of 200 and a standard deviation of 8.9. a. Find the probability that an individual distance is greater than...

The overhead reach distances of adult females are normally distributed with a mean of 200 and a standard deviation of 8.9. a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 198.20 cm. c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?