The mean yearly rainfall in Sydney, Australia, is about 137mm and the standard deviation is about 69mm. Assume yearly rainfall is normally distributed. Round the probabilities to four decimal places.
a) Find the probability that yearly rainfall exceeds 200mm.
b) Find the probability that yearly rainfall is between 50mm and 100mm.
c) Find the probability that yearly rainfall is less than 80mm.
d) Find the probability that yearly rainfall is exactly 150mm.