The overhead reach distances of adult females are normally distributed with a mean of 200 cm200 cm and a standard deviation of 8.3 cm8.3 cm.
a. find the probability that an individual distance is greater than 209.30209.30 cm.
b. find the probability that the mean for 2020 randomly selected distances is greater than 197.80 cm.197.80 cm.
c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?