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Latest revision as of 19:18, 21 March 2026
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 [math]X[/math] represent the annual number of claims of a randomly selected policy. Calculate the variance of [math]X[/math].
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Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.