The annual claims made by clients on their insurance policies have an average of 10 million dollars and a standard deviation of 2 million dollars. If the amounts can be assumed to have a normal distribution, find the probability that the annual claims in 1 year is

(a) greater than 12 million dollars, (b)

less than 8 million dollars, and

(c) either less than 8 million dollars or greater than 12 million dollars.

Find the annual claims that have

(d) 5% chance of being exceeded, and

(e) 1% chance of not being exceeded.