Re-interpret the cdf as the result of a two-step experiment where the first step is modeled by the random variable S ~ Ber () such

Re-interpret the cdf as the result of a two-step experiment where the first step is modeled by the random variable S ~ Ber (α) such that

Specify the conditional probabilities P(T ≤ t∣ S = s) for s ∈ {0, 1}.

Fr(t) = P(T < t|S = s)P(S = s). %3D s=0