Let the intensity of a non-homogeneousPoisson process (t)=1 for t [0,1], and (t)=100 for t

Let the intensity of a non-homogeneousPoisson process λ(t)=1 for t ∈ [0,1], and λ(t)=100 for t ∈ [1,2]. Explain heuristically and rigorously that the interarrival times τ₁ and τ₂ are dependent. (Advice: Consider the conditional distribution of τ₂ given τ₁ = a for, say, a= 1/2 and a = 1.)