The luggage limit for an airplane is set at 50 kgs per passenger. Thus for an airplane with200passengerseats,therewouldbealimitof10,000kgs.Theweightofabaggageofan individual passenger is a random variable with a mean of 45 kgs and a standard deviation of 17.5 kgs.

a)What is the probability that a randomly chosen passenger's 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 kg limit?