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 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?

Question
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 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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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 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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