The question above asks for
\begin{equation*}
P(X \gt 4 \text{seconds}) = P(X \gt \frac{4}{60} ) = 1 - F(\frac{4}{60}).
\end{equation*}
Therefore
\begin{equation*}
P(X \gt 4 \text{seconds}) = 1 - F(\frac{4}{60}) \approx 0.205627.
\end{equation*}
Again, since X is a continuous variable you must integrate to compute probabilities. This will require integration by parts or you can use the F(x) from the derivation above. Here, let’s just let Sage do the integration for us noting that \(\Gamma(5) = 4! = 24\text{.}\) You can compute the needed integral using the interactive cell immediately below.