The baggage limit for an airplane is set at 100 pounds per passenger. Thus, for an airplane with 200 passenger seats there would be a limit of 20,000 pounds. The weight of the baggage of an individual passenger is a random variable with a mean of 95 pounds and a standard deviation of 35 pounds. 

a) What is the probability that a randomly chosen passengers luggage is above the limit.

b) If all 200 seats are sold for a particular flight, what is the probability that the total weight of the passengers’ baggage will exceed the 10,000-pound limit?