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An insurance company predicts that a policy it plans to offer will cost the company the following amounts in claims: $10,000 with probability %, $4000 with probability %, $2000 with probability %, and nothing at all with probability %. If it wants to sell the policy for $300 more than the expected cost of claims, what price should it set? $l:l An automobile assembly line produces 280 cars per day, and an average of 4 per day fail inspection. Use the Poisson distribution to nd the probability that on a given day, 2 or fewer cars will fail inspection. (Round your answer to three decimal places.) :1 An average of 2.7 hurricanes reach a certain country each year. Use the Poisson distribution to find the probability that no hurricane reaches that country in a given year. (Round your answer to two decimal places.)