The average income in a certain region in 2013 was ​$ 78000per person per year. Suppose the standard deviation is ​$ 29000 and the distribution is​ right-skewed. Suppose we take a random sample of 100 residents of the region. a. Is the sample size large enough to use the Central Limit Theorem for​ means? Explain. b. What are the mean and standard error of the sampling​ distribution? c. What is the probability that the sample mean will be more than ​$2900 away from the population​ mean?