The monsoon rains in India follow an approximately normal distribution with mean 852 millimeters (mm) of rainfall and standard deviation of 82 mm. Typical or "normal" rainfall is considered to include rainfall between 682 mm and 1022 mm.

a. What is the probability that next year's monsoon will be typical? (Be sure to draw a picture to get full points.)

b. What is the probability that next year's monsoon will not be typical?

c. What is the probability that next year's monsoon will be atypically rainy (ie. have more rain than is typical)?