A probability question about expected value

In summary, the insurance company should charge $965 per policy ($1000 payout + $15 administrative fees - $50 profit) in order to make a profit of $50 per policy. The occurrence of A happening to 2 out of every 100 owners of the policy will result in an expected payout of $20 per policy.
  • #1
dmatador
120
1
An insurance company issues a one-year $1000 policy against an occurrence A that happens to 2 out of every 100 owners of the policy. Administrative fees are $15 per policy and not part of the companies profit. How much should the company charge per policy to make a profit of $50 per policy?
 
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  • #2
Well, what have you done on this? You can't just post a problem and expect people to do it for you! If "occurence A" happens to 2 out of every 100 customers, and the insurance company pays out $1000 for every occurence, what is the expected payout? What is the expected payout per policy? Now add costs and profit to that.
 

Related to A probability question about expected value

1. What is the expected value?

The expected value is a measure of the average outcome of a random variable over a large number of trials. It is calculated by multiplying each possible outcome by its probability and summing them together.

2. How is the expected value used in probability?

The expected value is used to help make decisions in situations where there is uncertainty. It can help determine the most likely outcome and guide decision-making based on that information.

3. Can the expected value be negative?

Yes, the expected value can be negative. This means that the outcome of a random variable is more likely to result in a loss or negative value.

4. What factors affect the expected value?

The expected value is affected by the probabilities assigned to each possible outcome and the potential gains or losses associated with those outcomes.

5. How is the expected value different from the actual outcome?

The expected value is a theoretical value that represents the average outcome over a large number of trials. The actual outcome may differ from the expected value in any single trial, but over many trials, the actual outcome should become closer to the expected value.

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