Question

In: Statistics and Probability

An automotive insurance company is reviewing a customer's application for a one-year policy. Based on the...

An automotive insurance company is reviewing a customer's application for a one-year policy. Based on the customer's driving history and the insurance company's past experience, the company assumes that the probability of each payout for one year is as shown in the table provided. What is the expected payout for the insurance company?

Payout Probability
$100,000 0.002
$50,000 0.005
$25,000 0.012
$10,000 0.026
$5,000 0.065
$0 0.89

Solutions

Expert Solution

ANSWER:

Expected payout =

= (100000*0.002)+ (50000*0.005)+(25000*.012)+ (10000*0.026)+(5000*.065)+(0*0.89)

= 200 + 250 + 300 + 260 + 325 + 0

= 1335

Hence the expected payout for the insurance company is $1335.


Related Solutions

A life insurance company sells a $150,000 one year term life insurance policy to a 21-year...
A life insurance company sells a $150,000 one year term life insurance policy to a 21-year old female for $150. The probability that the female survives the year is .999724. Find the expected value for the insurance company.
suppose a life insurance company sells a $240,000 one year term life insurance policy to a...
suppose a life insurance company sells a $240,000 one year term life insurance policy to a 19 year old female for $270. the probability that the female survives the year is .999522. compute and interpret the expected value if this policy to the insurance company. the expected value is $______
Suppose a life insurance company sells a $200,000 ​one-year term life insurance policy to a 23-year-old...
Suppose a life insurance company sells a $200,000 ​one-year term life insurance policy to a 23-year-old female for ​$190. The probability that the female survives the year is 0.999594. Compute and interpret the expected value of this policy to the insurance company.
Suppose a life insurance company sells a ​$160,000 ​one-year term life insurance policy to a 25​-year-old...
Suppose a life insurance company sells a ​$160,000 ​one-year term life insurance policy to a 25​-year-old female for ​$280. The probability that the female survives the year is 0.9996420 Compute and interpret the expected value of this policy to the insurance company. The expected value is ​$nothing. ​(Round to two decimal places as​ needed.)
Suppose a life insurance company sells a $190,000 one-year term life insurance policy to a 24-year-old...
Suppose a life insurance company sells a $190,000 one-year term life insurance policy to a 24-year-old female for $200. The probability that the female survives the year is .999461. Compute and interpret the expected value of this policy to the insurance company.
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 20​-year-old...
Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 20​-year-old female for ​$330. The probability that the female survives the year is 0.999502. Compute and interpret the expected value of this policy to the insurance company.
Suppose you work for an insurance company and you sell a $10,000 one-year term insurance policy...
Suppose you work for an insurance company and you sell a $10,000 one-year term insurance policy at an annual premium of $290. Actuarial tables show that the probability of death during the next year for a person of your customer’s age, sex, health, etc., is .001 . What is the expected gain (amount of money made by the company) for a policy of this type? [Hint: If the customer dies, the gain is negative because the company must pay $10,000,...
An insurance company is reviewing its current policy rates. When originally setting the rates they believed...
An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1800. They are concerned that the true mean is actually higher than this because they could potentially lose a lot of money. They randomly select 40 claims, and calculate a sample mean of $1950 and the sample standard deviation of claims is $500, test to see if the insurance company should be concerned. Use an α level of...
An insurance company is reviewing its current policy rates. When originally setting the rates they believed...
An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1,800. They are concerned that the true mean does not equal this because they could potentially lose a lot of money. They randomly select 40 claims, and calculate the sample mean of $1,950. Assuming that the standard deviation of claims follows a Normal distribution with known standard deviation $500, perform a hypothesis testing to see if the insurance...
An insurance company is reviewing its current policy rates. When originally setting the rates they believed...
An insurance company is reviewing its current policy rates. When originally setting the rates they believed that the average claim amount was $1,800. They are concerned that the true mean does not equal this because they could potentially lose a lot of money. They randomly select 40 claims, and calculate the sample mean of $1,950. Assuming that the standard deviation of claims follows a Normal distribution with known standard deviation $500, perform a hypothesis testing to see if the insurance...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT