Insurance Probability and Expected Value

The video tutorial explains how to calculate the expected value of a life insurance policy for a 40-year-old man in the U.S. It covers the concepts of risk, probability, and expected value, detailing the steps to convert probabilities, determine gains or losses from outcomes, and compute the expected value. The tutorial concludes with an interpretation of the results, highlighting the average loss for the policyholder and the gain for the insurance company.

What is the risk of a 40-year-old man in the U.S. dying within the next year?

• 24.4%

• 2.44%

• 0.0244%

• 0.244%

How does one calculate the expected value of an event?

• By subtracting the smallest outcome from the largest

• By finding the average of all outcomes

• By multiplying each outcome by its probability and summing the results

• By adding all possible outcomes

What is the decimal representation of a 0.244% probability?

• 0.00244

• 0.0244

• 2.44

• 0.244

What is the probability of living for the 40-year-old man?

• 0.99756

• 0.99576

• 0.9756

• 0.9576

What is the financial gain for the family if the man dies?

• $100,000

• $99,700

• $300

• $100,300

What is the financial loss if the man lives?

• $300

• $0

• $100,000

• $99,700

What is the total gain from the death benefit minus the policy cost?

• $100,300

• $300

• $99,700

• $100,000

How is the expected value affected by the probability of death?

• It remains constant regardless of probability

• It decreases with higher probability of death

• It increases with higher probability of death

• It is not related to the probability of death

What is the expected value for the policyholder?

• A loss of $300

• A gain of $56

• A loss of $56

• A gain of $300

What does the expected value indicate for the insurance company?

• A loss of $56

• A gain of $300

• A gain of $56

• A loss of $300