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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