Neighborhood Insurance sells fire insurance policies to local homeowners. The premium is $290, the probability of a fire is 0.1%, and in the event of a fire, the insured damages (the payout on the policy) will be $280,000.

Compare your answers to (b) and (d). Did risk pooling increase or decrease the variance of your profit?

Continue to assume the company has issued two policies, but now assume you take on a partner, so that you each own one-half of the firm. Make a table of your share of the possible payouts the company may have to make on the two policies, along with their associated probabilities. (Negative answers should be indicated with a minus sign. Round your "Probability" answers to 4 decimal places.)

What are the expected value and variance of your profit?