Loss sizes have the following distribu Size Probability 1 0.6 2. 0.2 0.1 0.1 Calculate the expected annual payment under the stop-loss reinsurance contract.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q6
7. A reinsurance company offers a stop-loss reinsurance contract that pays the excess of annual
aggregate losses over 3.
You are given:
Loss counts follow a binomial distribution with n=3 and p=0.2.
Loss sizes have the following distribution:
Probability
Size
1
0.6
0.2
3
0.1
0.1
Calculate the expected annual payment under the stop-loss reinsurance contract.
Transcribed Image Text:7. A reinsurance company offers a stop-loss reinsurance contract that pays the excess of annual aggregate losses over 3. You are given: Loss counts follow a binomial distribution with n=3 and p=0.2. Loss sizes have the following distribution: Probability Size 1 0.6 0.2 3 0.1 0.1 Calculate the expected annual payment under the stop-loss reinsurance contract.
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