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Suppose claim amount for an insurance company follows a discrete distribution k P 100 0
Suppose claim amount for an insurance company follows a discrete distribution k P 100 0.02 90 0.02 80 0.04 50 0.12 0 0.8 Find the cash values which company should hold to be able to cover claims completely with 95% 98% and 99% confidence levels..
Expert Solution
| k | Pk | |||
| Claim amount | Probability | Cumulative Probability | ||
| 0 | 0.8 | 0.8 | ||
| 50 | 0.12 | 0.92 | ||
| 80 | 0.04 | 0.96 | ||
| 90 | 0.02 | 0.98 | ||
| 100 | 0.02 | 1.00 | ||
| Cash Values company should keep to cover claims completely with 95% Confidence Level | 80 | |||
| Cash Values company should keep to cover claims completely with 98% Confidence Level | 90 | |||
| Cash Values company should keep to cover claims completely with 99% Confidence Level | 100 |
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