hello I need help with part a,b and C of this excercise. Thank you

The overhead reach distances of adult females are nerrnaly distributed with a mean of 205 am and a standard deviation of 3.9 cm. a. Find the probability that an individual distance is greater than 214.30 em. b. Find the probabiity that the mean for 15 randomly selected distances is greater than 202.30 cm. 1:. Why can the normal distribution be used in part (b), even though the sample size does not exceed 307 a. The probability is . (Round to four decimal places as needed.)