If X∼Exp(λ)X \sim \text{Exp}(\lambda)X∼Exp(λ), what is the memoryless property represented by?
P(X>s+t∣X>s)=P(X>t)P(X > s+t | X > s) = P(X > t)P(X>s+t∣X>s)=P(X>t)
P(X>s+t∣X>s)=P(X>s)P(X > s+t | X > s) = P(X > s)P(X>s+t∣X>s)=P(X>s)
P(X>s+t∣X>s)=P(X>s+t)P(X > s+t | X > s) = P(X > s+t)P(X>s+t∣X>s)=P(X>s+t)
P(X>s∣X>t)=P(X>s)P(X > s | X > t) = P(X > s)P(X>s∣X>t)=P(X>s)