Consider a Poisson process with rate λ = 2 and let T be the

Last updated: 7/26/2022

Consider a Poisson process with rate λ = 2 and let T be the time of the first arrival. a) Find the conditional PDF of T given that the second arrival came before time t = 1. Enter an expression in terms of λ and t. b) Find the conditional PDF of T given that the third arrival comes exactly at time t =1.