(don't copy the answer)Suppose there is just one type of illness, which has a .1 probability of occurring. Consider two insurance policies: (a) a free care policy, where the insurer covers the full cost of all care that a sick individual demands, and (b) a policy with a 20 person coinsurance rate, where the individual pays 10 percent and the insurer pays 80 percent of the cost of care. A sick individual will choose 6 days of hospital care under policy a and 4 days of hospital care under policy b. Each day of hospital care costs $3000. (Assume that there is no evidence that health outcomes are better for those with longer hospital stays.) What is the actuarially fair premium for policy a? Your answer should be a dollar amount, without a dollar sign.