According to a 2018 Money magazine article, Maryland has one of the highest per capita incomes in the United States, with an average income of $75,847. Suppose the standard deviation is $32,000 and the distribution is right-skewed. A random sample of 100 Maryland residents is taken.

a. Is the sample size large enough to use the Central Limit Theorem for means? Explain.

b. What would the mean and standard error for the sampling distribution?

c. What is the probability that the sample mean will be more than $3200 away from the population mean?