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Assuming the normal approximation for the random variable representing the aggregate present value, find the minimum single premium per policy to ensure that the probability

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Assuming the normal approximation for the random variable representing the aggregate present value, find the minimum single premium per policy to ensure that the probability is 95% that the premium will be sufficient to cover the benefits paid on a group of 100 independent whole life policies, each with face amount $1,000 and issued simultaneously to 100 individuals all age 20. The 95th percentile of the standard normal distribution is 1.645. O a. 296 O b. 414 O c. 145 O d. 208 O e. 325

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