6. A study of college freshmen's study habits found that the time (in hours) that college freshmen use to study each week follows a distribution with a mean of 7.2 hours and a standard deviation of 5.3 hours. (a) Can you calculate the probability that a randomly chosen freshman studies more than 9 hours? If so, do it. If not, explain why not. (b) What is the shape of the sampling distribution of the mean x for samples of 55 randomly selected freshmen? Justify your answer. (c) What are the mean and standard deviation for the average number of hours & spent studying by an SRS of 55 freshmen? (d) Find the probability that the average number of hours spent studying by an SRS of 55 students is greater than 9 hours. Show your work