Question

In: Statistics and Probability

An insurance company is considering offering fire insurance to customers in a certain state.

 

An insurance company is considering offering fire insurance to customers in a certain state. After examining thousands of records of insurance claims in the area, they have come up with the following information:

Payout Number of Claims
$58,971 22
28,117 602
0 2,972

First convert the table into a probability distribution by dividing each number in the "Claims" column by the total number of claims. Take probability calculations to 3 decimal places.

Now, let X be the expected payout. Find E(X), the expected value of X, to two decimal places.

Solutions

Expert Solution

Payout (X) Number of claims Probability distribution (p)
58971 22 22 / 3596 = 0.006
28117 602 602 /3596 = 0.167
0 2972 2972 / 3596 = 0.827

Total number of claims = 22 + 602 + 2972 = 3596

E(X) =

= 0.006 * 58971 + 0.167 * 28117 + 0.827 * 0

= 5049.37


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