can you help me solve the problem? Thank you so much

9. The average length of a hospital stay in the US is u. = 9 days with standard deviation of o = 3 days. Assume a simple random sample of 100 patients is obtained and the mean stay for 100 patients is obtained. What is the probability that the average length of stay for this group of patients will be less than 9.6 days? a. What is the shape of the distribution for :E's for samples of 100 patients? b. What are the mean and standard deviation for the distribution for 32's for samples of 100 patients? c. What is the probability that the average length of stay for this group of patients will be less than 9.6 days