300. A group of insurance policies have all been in force for at least three years. The
insurance company plans to pay a dividend on each policy in the group that had no more
than one claim incurred on it in the past three years. The number of claims incurred on a
policy in any year follows a Poisson distribution with mean 0.288 and the number
incurred in any year is independent of the number incurred in any other year.
Calculate the probability that a policy chosen at random from the group will receive a
dividend.
(A) 0.01
(B) 0.36
(C) 0.42
(D) 0.54
(E) 0.79
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