The overhead reach distances of adult females are normally distributed with a mean of 195cm and a standard deviation of 8.9cm.

a. Find the probability that an individual distance is greater than 208.40 cm.

b. Find the probability that the mean for 25 randomly selected distances is greater than 193.20cm.

c. Why can the normal distribution be used in part(b), even though the sample size does not exceed30?

a. The probability is

nothing

.

(Round to four decimal places asneeded.)