Assume that females have pulse rates that are normally distributed with a mean of / - 76 beats per minute and a standard deviation of o = 12.5 beats per minute. (a) (4 points) Describe the sampling distribution of f when we are taking samples size of 25. (Note: all you need to tell me is the mean, standard deviation, and the shape of the sampling distribution.) (b) (4 points) Why are you allowed to describe the sampling distribution in part a without taking many samples of size 25. (c) (4 points) Graph the sampling distribution of r of sample sizes 25. Make sure to label 6 points on the x-axis with the correct mean. (d) (4 points) If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean at most 78 beats per minute. Round to 4 decimal places