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In: Statistics and Probability

An insurance company issues 1250 vision care insurance policies. The number of claims filed by a...

An insurance company issues 1250 vision care insurance policies. The number of claims filed by a policyholder under a vision care insurance policy during one year is a Poisson random variable with mean 2. Assume the numbers of claims filed by a distinct policyholders are independent of one another. What is the approximate probability that there is a total of between 2450 and 2600 claims during a one year period?

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