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3. (10 pts) There is a 0.9986 probability that a random selected 30-year-old male lives through the year. A Fidelity life insurance company charges $161 for insuring that the male will live through the year. If the male does not survive the year, the policy says out $100,000 as a death benefit. If a 30-year-old male purchase the policy, what is his expected value?

x,

Net Gain

P(x),

probability of Net Gain

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