In: Statistics and Probability
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 |
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.