When confronted with an in-flight medical emergency, pilots and crew can consult staff physicians at a global response center located in Arizona. if the global response center is called, there is a 4.8 percent chance that the flight will be diverted for an immediate landing. Suppose the rsponse center is called 8,465 times in a given year.

a) what is the expected number of diversions? (round to 2 decimal places)

b) what is the approxiamte normal probability of at least 400 diversions? (round to 4 decimal places)

c) what is the approximate normal probability of fewer than 450 diversions? (round to 4 decimal places)