In: Statistics and Probability
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?