What does $P(X>7|X>5)=P(X>2)$ mean in an exponential distribution?
I know that the parameter for the distribution is $\lambda = 4$, but how can I verify that $$ P(X>7|X>5)=P(X>2)? $$ I only need to know how to write it as integral notation, but this conditional does not seem to be as I usually interpret it to be, meaning $$ P(X>5 \ and \ X>7)/P(X>5)$$ that's why my question. Any help?