High-Risk Drivers The number of days that elapse between the beginning of a calendar year and the moment a high-risk driver is involved in an accident is exponentially distributed. An insurance company expects that 30$\%$ of high-risk drivers will be involved in an accident during the first 50 days of a calendar year. What portion of high-risk drivers are expected to be involved in an accident during the first 80 days of a calendar year? Choose one of the following. Source: Society of Actuaries.
$$
\begin{array}{cccc}{\text { a. } 0.15} & {\text { b. } 0.34} & {\text { c. } 0.43} & {\text { d. } 0.57} & {\text { e. } 0.66}\end{array}
$$