we are looking at exponential distribution in probability. I am told that T is memoryless in this situation (T is time) ... In the probability P(Ts+t)=P(Ts)... does anyone know what the s represents.

Question

we are looking at exponential distribution in probability.  I am told that T is memoryless in this situation (T is time) ... In the probability P(T>s+t)=P(T>s)... does anyone know what the s represents.

anonymous · Answer

it's conditional probability in which it is memoryless

anonymous · Answer

P(T>s+t|T>t)=P(T>s)  s and t can be any #'s

anonymous · Answer

the s has unit time aswell

anonymous · Answer

yeah, if the random variable T is time units then yeah a different time

anonymous · Answer

Thank you.