# Expected Value of Insurance Payment

#### ElizaSells

##### New Member
Hi everyone, it's me again...

Here is my current struggle and what I've done.

First, i found the expected value of the amount of damage which is ($1,410 +$284)/2 because it is uniform. This is $847. There is a$532 deductible, so the expected payment is $847-$532 = $315. The problem is this isnt a possible answer (multiple choice). The answers are$410.77, $359.43,$342.31,$393.66, and$376.54.

So since my first answer is obviously wrong I thought maybe to take the deductible into consideration I needed to change the range of the interval...which didnt feel right but I didn't know what else to do, so I said the real range was 0 to $878 (1410 minus the deductible) and then divded by two to get$439. This isn't an answer either. I feel like there are only so many ways to add and subtract and divide these numbers, and my logic makes sense to me, so I really don't know what else to attempt right now...I appreciate your help.

#### Dason

What would a plot look like if you were to plot amount of damage on the x axis and insurance payout on the y axis?

#### Buckeye

##### Member
I'm also interested in this question. I had thought:

E(I) = 0 * P[d is in (284,532)] + (E(D) - 532) * P[d is in (532,1410)]

but this doesn't result in any of the answer choices. So, I don't know.

#### Dason

In that second part how are you calculating E(D)?

#### Buckeye

##### Member
same as the original poster. I did something wrong. Don't know what.