One of the emergency wards of a certain medical center of Oakland County, MI claims that they receive an average of 7 patients per hour.

1. What is the probability that during the next hour fewer than 4 patients will be admitted?
2. What is the probability that during the next two hours exactly 12 patients will be admitted?
3. What is the probability that during the next 30 minutes more than 2 patients will be admitted? What is the standard deviation of admitted patients during this 30-minute period?