Company that produces ritbon has found that the marginal cost of producing x yards of fancy ribbon is given by c,(x)= 0 1x2 0 02 + 33 for xs 1000, where c x) s in cents io ing 1000 yards of ribbon, using 5 subintervals over [0,1000] and the left endpoint of each subinterval the total cost of 1000 yards of ribbon is approximately s do not round until the final answer. then round to the nearest cent as needed)

Assume that females have pulse rates that are normally distributed with a mean of mu equals 72.0 beats per minute and a standard deviation of sigma equals 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 65 beats per minute and 79 beats per minute. the probability is? b. if 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. the probability is? c. why can the normal distribution be used in part (b), even though the sample size does not exceed 30?