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your company sells life insurance. you charge a 55 year old man $60 for a one year, $100,000 policy. if he dies over the course of the next year you pay out $100,000. if he lives, you keep the $60. based on historical data (relative frequency approximation) the average 55 year old man has a 0.9995 probability of living another year. (a) what is your expected profit on this policy?

User Andy Madge
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1 Answer

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.The expected profit on the policy is $9.97. Here is the calculation: def expected_profit(probability_of_living, premium, payout):

"""

Calculates the expected profit on a life insurance policy.

Args:

probability_of_living: The probability that the insured person will live.

premium: The amount of money charged for the policy.

payout: The amount of money paid out if the insured person dies.

Returns:

The expected profit on the policy.

"""

expected_profit_if_lives = premium

expected_profit_if_dies = -payout

expected_profit = (probability_of_living * expected_profit_if_lives) + (

(1 - probability_of_living) * expected_profit_if_dies)

return expected_profit

if __name__ == "__main__":

probability_of_living = 0.9995

premium = 60

payout = 100000

expected_profit = expected_profit(probability_of_living, premium, payout)

print("The expected profit on the policy is $", expected_profit)

As you can see, the expected profit is very small. This is because the probability of the insured person dying is very low. In this case, the insurance company is more likely to keep the $60 premium than it is to have to pay out $100,000. However, it is important to note that this is just the expected profit. The actual profit could be higher or lower, depending on whether the insured person dies or lives.

User Yessine Mahdouani
by
8.3k points

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