Question: This question is based on national auto insurance data in the U.S. from 2017 , the most recent year with complete data. The mean losses given below are in thousands (so, for example, "3.5" stands for 3500), but for this question you should use the values "3.5" and "19" to obtain your answers.

Consider the following facts about automobile insurance policies in the United States:

- Approximately \(86.9 \%\) of all automobile policies have no insurance claims in a given year.

- For policies with insurance claims, approximately \(12.0 \%\) have only property damage claims. The amount of property damage claims follows an exponential distribution with a mean amount of 3.5.

- The remaining \(1.1 \%\) of policies have both property and bodily injury claims. The amount of these claims follows an exponential distribution with a mean amount of 19.

If \(X\) represents the amount of claims on an automobile insurance policy, find \(F(x)\).

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