The Office of Aviation Enforcement and Proceedings (OAEP) publishes important consumer information about airlines in Air Travel Consumer Report. For the 12 months ending June 30, 2008, 73.7% of all flights arriving at U.S. airports arrived “on time,” meaning no more than 15 minutes late at the arrival gate. The Boston airport reported 10,288 arrivals during June 2008. If the overall percentage of on-time flights applies to Boston, what is the probability that, during June 2008, the number of on-time flights to Boston

a. Exceeded 7600?
b. Was between 7450 and 7550, inclusive?