Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below....

Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.

A. If 1 adult female is randomly​ selected, find the probability that her pulse rate is less than 79 beats per minute. (round decimal to four places as needed).

B. If 16 adult females are randomly​ selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. (round to four decimal places as needed)

C. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?