It is given that \(P(X\geq 2)=0.25\) for an exponentially distributed random…

It is given that $P(X\geq 2)=0.25$ for an exponentially distributed random variable $X$ with $E[X]=\frac{1}{\lambda}$, where $E[X]$ denotes the expectation of $X$. What is the value of $\lambda$? (ln denotes natural logarithm)