Question: The distance that all Ohio students live from the Stevens campus is heavily skewed to the right with a mean of 12.5 and a standard deviation of 8.6.

a) If we select one student at random, can we, using the methods studied so far, calculate the probability that the student lives less that 9.5 miles from the Outerbanks campus? If not, explain why or shy not? If you can, than calculate it.

b) If we take a simple random of 45 students and calculate the mean distance from the Outerbanks campus for that sample, can we, using the methods studied so far, calculate the probability that the sample mean is less that 9.5 miles? If not, explain who not/ If you can, than calculate it.

c) The sample mean from part b, belongs to a sampling distribution. What is the shape, mean, and standard deviation of the sampling distribution?