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
$900 for outpatient care and an average of $3000 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?