According to the National Insurance Crime Bureau, the metropolitan area with the highest incidence of auto theft is Miami, Florida, with an annual rate of 2.6 thefts for every 100 vehicles registered in 1997. ^a.The University of Miami has approximately 1100 faculty members. _^b Under the assumption that the average faculty member has just one registered vehicle, and applying the vehicle theft rate reported for the city, what is the expected number of faculty vehicles that will be stolen during the upcoming year? 

Assuming that one of the academic departments has 50 faculty members, what is the probability that all of them will make it through the coming year without having a vehicle stolen? That at least 2 of them will have a vehicle stolen next year?