The distribution ages for students at the state college is positively skewed with a mean of μ= 21.5 and a standard deviation of σ= 3.

a. What is the probability of selecting a random sample of n = 4 students with an average age greater than 23?

b. What is the probability of selecting a random sample of n = 36 students with an average age greater than 23?

c. For a sample of n = 36 students, what is the probability that the average age is between 21 and 22?