Suppose a company charges an annual premium of $100
for an insurance policy for minor injuries. Actuarial studies show that in case of an injury claim, the company will pay out an average of $400
for outpatient care and an average of $4000
for an overnight stay in the hospital. They also determine that, on average, each year there are five claims made that result in outpatient care for every 1000
policies and three claims made that result in an overnight stay out of every 1000
policies. What is the expected annual profit of an insurance policy for the company?