A life insurance company will sell a 1 million three-year term life insurance policy exclusive in a particular risk group for a premium of ₱2,000.00. Let X denote the net gain to the company from the sale of one policy. If a person in this risk group has a 99.95% chance of surviving within three years, find the expected value to the company of a single policy?
Let denote the net gain to the company from the sale of a policy. There are two possibilities,
wHEN
The probability in the second case is 0.9995 and in the first case, the probability is 1-0.9995=0.0005
The probability distribution of Y is
Y 2000 -998000
p(Y) 0.9995 0.0005
Therefore,
The expected value to the company of a single policy is 1500.
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