A doctor is getting sued for malpractice by four of her former patients. It is believed that the amount that each patient will sue her for is normally distributed with a mean of $800,000 and a standard deviation of $250,000.
a. What is the probability that a given patient sues the doctor for more than $1,000,000?
b. If the four patients sue the doctor findependently, what is the probability that the total amount they sue for is over $4,000,000?