Suppose people cannot tell for sure whether they will fall ill in any given year. High-risk people correctly perceive their chance of falling ill in a year is 30 percent, and low-risk people correctly perceive that their chance of falling ill is 10 percent. Both high-risk and low-risk people have to pay $10,000 in medical expenses if they fall ill, and nothing if they remain healthy. Required:
a. What are the expected annual medical expenses of a high-risk person?
b. What are the expected annual medical expenses of a low-risk person?