The number of violent cri mes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per cay. A random sample of 100 days was observed, and the sample mean number or crimes for the sample was calculated. Describe the sampling distribution of the sample means.

a.) shape unknown with mean of 2.8 and a standard deviation of 0.4
b.) approximately normal with mean of 2.8 and standard deviation of 4
c.) shape unknown with mean of 2.8 and standard deviation of 4
d.) approximately normal with mean of 2.8 and standard deviation of 0.4