Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute. (a) If 1 adult female is randomly selected,...

Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute.

(a) If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. (Round your answer to 4 decimal places)

(b) If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute.

(Round your answer to 4 decimal places)