An exhaustive study of all active Facebook accounts was recently conducted by Facebook. One variable Facebook recorded was the number of friendsXof each Facebook user. SupposeXhas expected value E(X) =193and standard deviation SD(X) =284. Since the possible values ofXare only integers and since the distribution ofXis highly skewed to the right, the distribution ofXcannotbe described by a normal model. Suppose you select a random sample of34Facebook users and record the number of Facebook friends each user has.

Question 1. What is the probability that the34Facebook users in your sample have a sample mean number of friendsxgreater than181?(use 4 decimal places in your answer)

Question 2. What is the probability that the34Facebook users in your sample have a sample mean number of friendsxless than193?(use 4 decimal places in your answer)