please solve this.

Assume that females have pulse rates that are normally distributed with a mean of p =T2.0 beats per minute and a standard deviation of 0' = 12.5 beats per minute. Complete parts (a) through ((2) below. a. |f1 adult female is randomly selected, nd the probability that her pulse rate is less than 78 beats per minute. The probability is . (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, nd the probability that they have pulse rates with a mean less than 78 beats per minute. The probability is . (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? O A. Since the original population has a normal distribution, the distnbution of sample means is a normal distribution for any sample Size. 0 B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. 0 (3. Since the distribution is of sample means. not individuals, the distribution is a normal distribution for any sample size. 0 D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size