Assistance with question 46 (c) and 48 (b) please

Question 46, 6.4.5-T Question Help Assume that females have pulse rates that are normally distributed with a mean of u = 74.0 beats per minute and a standard deviation of o = 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 80 beats per minute. The probability is .6844 . (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. The probability is .8315 . (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 distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.x Question 48, 6.4.7-T Question Help Assume that females have pulse rates that are normally distributed with a mean of u = 72.0 beats per minute and a standard deviation of o = 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 between 68 beats per minute and 76 beats per minute. The probability is .2510 . (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 68 beats per minute and 76 beats per minute. The probability is (Round to four decimal places as needed.)