The overhead reach distances of adult females are normallydistributed with a mean of 205 cm and a standard deviation of 8.9cm .
a. Find the probability that an individual distance is greaterthan 217.50 cm.
b. Find the probability that the mean for 15 randomly selecteddistances is greater than 202.80 cm
. c. Why can the normal distribution be used in part​ (b), eventhough the sample size does not exceed​ 30?