7) (8 pts) On a national physical fitness test, scores are normally distributed with a mean equal to 42 and standard deviation equal to 3. a. If a person is selected at random, find the probability that his/her score is higher than 45. (3) b) A random sample of 25 scores is obtained. Find the mean and standard error of the distribution of sample means for samples of size 25. (2) c) Find the probability that a random sample of size 25 will have a mean score higher than 45