The expected value is the average loss or gain of an event if the procedure is repeated multiple times. The expected value is calculated by multiplying each outcome by the probability of that outcome and then adding the products. Example: Given a person's chance of living is 0.9986 in that year ,. This person decided to pay for life insurance for $161 for the year. If this person pass away in that year, the insurance company will pay $100,00.  Probability of living = 0.9986 Probability of dying = 1-0.9986 = 0.0014 Gain/Loss from living = -$161 Gain/Loss from death = $100,000 Expected value = $100,000 (0.0014) + (-$161

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The expected value is the average loss or gain of an event if the procedure is repeated multiple times. The expected value is calculated by multiplying each outcome by the probability of that outcome and then adding the products.

Example: Given a person's chance of living is 0.9986 in that year ,. This person decided to pay for life insurance for $161 for the year. If this person pass away in that year, the insurance company will pay $100,00. 

Probability of living = 0.9986

Probability of dying = 1-0.9986 = 0.0014

Gain/Loss from living = -$161

Gain/Loss from death = $100,000

Expected value = $100,000 (0.0014) + (-$161)*0.9986 = 140-160.7746 = -$ 20.7746

The expected value is -$20.7746 which indicates the average loss for an individual buying this policy and the company stands to gain $20.7746 from selling one insurance policy.

Do you think you can give some detailed calculations for warranty? 

Expert Solution
Step 1

From the given information,

The probability of living is 0.9986.

That is, P(living)=0.9986

The probability of dying is 0.0014.

That is, P(dying)=0.0014

Gain/Loss from living = -$161

Gain/Loss from death = $100,000

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