An insurance company issues 1200 health care insurance policies. The number of ...

An insurance company issues 1200 health care insurance policies. The number of claims filed by a policyholder under the policy during one year is a Poisson random variable with mean 2. Assume the number of claims filed by different policyholders are mutually independent. What is the approximate probability that there is a total of between 2100 and 2400 claims during a one-year period?