The number of classified advertisements appearing on Mondays on a certain online community site has mean of 320 and standard deviation 30. Suppose that the results for 100 consecutive Mondays can be regarded as a simple random sample, and let x denote the mean number of classified advertisements in the sample. Assuming a sample of 100 is sufficiently large, the random variable x has a

a. shape that is exactly Normal by the central limit theorem.

b. standard deviation of 3 by the law of large numbers.

c. shape that is approximately Normal by the central limit theorem.

d. mean of 3.2 by the law of large numbers.

e. More than one of the above choices is true.