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An actuary is splitting a company's portfolio of 1000 home insurance policies into four categories based on their risk profile. The following split into categories

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An actuary is splitting a company's portfolio of 1000 home insurance policies into four categories based on their risk profile. The following split into categories A, B, C and D has been obtained: A model is proposed to specify the probability that an individual policy belongs to a particular category: where is an unknown parameter such that 0

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