19.6 A group medical insurance policy covers the medical expenses incurred by 100,000 mutually independent lives. The annual loss amount X incurred by each life is distributed as follows: 50 200 500 1000 10, 000 0.2 0.1 P(X = 1): The policy pays 80% of the annual losses for cach life. The premium is equal to the 95-th percentile of the normal distribution which approximates the distribution of total claims. Determine the security loading. A) 1,213,000 0.3 0.1 0.1 0.2 B) 1,356,000 C) 1,446,000 D) 1,516,000 E) 1,624,000