4. The mean number of posts a person "likes" on Facebook per month is 311.11, with a standard deviation of 72.42. The number of posts "liked" on Facebook per month can only take integer values, so the distribution of "likes given" is not Normal.

(a) (4 points) What is the mean and standard deviation of the number of Facebook posts "liked" in a whole year?

b) (6 points) You sample a person's Facebook profile activity for every month for the last 5 years. What are the chances that the average number of posts "liked" per month in your sample is larger than 307?b) (6 points) You sample a person's Facebook profile activity for every month for the last 5 years. What are the chances that the average number of posts "liked" per month in your sample is larger than 307?v