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Distributionshard
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A Poisson process counts occurrences at a rate of λ\lambdaλ per unit time. If T1T_1T1​ is the time until the first occurrence, and T2T_2T2​ is the time between the first and second occurrence, what is the joint probability density function f(t1,t2)f(t_1, t_2)f(t1​,t2​)?