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

Assuming the normal approximation for the random variable representing the aggregate present

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.

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