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For a certain insurance company, 10% of its policies are Type A, 50% are Type B, and 40% are Type C. The annual number of

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For a certain insurance company, 10% of its policies are Type A, 50% are Type B, and 40% are Type C. The annual number of claims for an individual Type A, Type B, and Type C policy follow Poisson distributions with respective means 1, 2, and 10. Let X represent the annual number of claims of a randomly selected policy. Calculate the variance of X. For a certain insurance company, 10% of its policies are Type A, 50% are Type B, and 40% are Type C. The annual number of claims for an individual Type A, Type B, and Type C policy follow Poisson distributions with respective means 1, 2, and 10. Let X represent the annual number of claims of a randomly selected policy. Calculate the variance of X

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