Question

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

An insurance company issues 1250 vision care insurance policies.
The number of claims led 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 led 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?
(A) 0.68
(B) 0.82
(C) 0.87
(D) 0.95
(E) 1.00

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