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a lawnmower manufacturer has the following loss distribution for its annual products liability costs: loss probability 250,000 0.05 10,000 0.15 0 0.9 what is the expected claim cost for a policy with $10,000 deductible

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Answer: $12,000

Explanation:

The question makes no sense in one area. The loss probability for $0 cannot be 90% because the other two are collectively 20%. I shall therefore assume that the loss probability for $0 is 80% so that they add up to 100%.

Expected claim cost = ∑[loss probability * (Loss - Deductible)]

= 0.9 * 0 + [0.15 * (10,000 - 10,000)] + [0.05 * (250,000 - 10,000)]

= $12,000

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