We will have the following:
We know that there is a 7% chance that they would need to pay the car; that means that for each 100 people that pay the warranty 7 would need to be paid for it; so the total amount obtained from 100 people would be:
![T=100(983)-7(13400)\Rightarrow T=4500](https://img.qammunity.org/2023/formulas/mathematics/college/hsph7p102qi1hoehd9rzxueap8t15m4xqy.png)
Now, from this we can determine the total amount of money gained from each warranty sold by dividing by the total of the hypothetical sales; in our case 100, that would be:
![x=(4500)/(100)\Rightarrow x=45](https://img.qammunity.org/2023/formulas/mathematics/college/vitrdhlu8o4h9ytlp2i8i7jmgyr08ahwev.png)
So:
MotoWin can expect to make money from offering these warranties.
In the long run, they should expect to make 45 dollars on each warranty sold.