Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below....

Extracted text: Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. %3D a. If 1 adult female is randomly selected, find 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 16 adult females are randomly selected, find 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 distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size.