Assume that females have pulse rates that are normallydistributed with a mean of mu equals 76.0 beats per minute and astandard deviation of sigma equals 12.5 beats per minute. Completeparts​ (a) through​ (c) below. a. If 1 adult female is randomly​selected, find the probability that her pulse rate is between 70beats per minute and 82 beats per minute. The probability isnothing. ​(Round to four decimal places as​ needed.) b. If 16 adultfemales are randomly​ selected, find the probability that they havepulse rates with a mean between 70 beats per minute and 82 beatsper minute. The probability is nothing. ​(Round to four decimalplaces as​ needed.) c. Why can the normal distribution be used inpart​ (b), even though the sample size does not exceed​ 30? A.Since the distribution is of sample​ means, not​ individuals, thedistribution is a normal distribution for any sample size. B. Sincethe mean pulse rate exceeds​ 30, the distribution of sample meansis a normal distribution for any sample size. C. Since thedistribution is of​ individuals, not sample​ means, thedistribution is a normal distribution for any sample size. D. Sincethe original population has a normal​ distribution, thedistribution of sample means is a normal distribution for anysample size.