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Consider a Bernoulli process...

Consider a Bernoulli process with parameter p=1/3. Let T1 be the time of the first success and let T1+T2 be the time of the second success. We are told that the results of the two slots that follow the first success are failures, so that XT1+1=XT1+2=0. What is the conditional expectation of the second interarrival time, T2, given this information? (Recall that the expectation of a geometric random variable with parameter p is equal to 1/p.)

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Consider a Bernoulli process with parameter p=1/3. Let T1 be the time of the first success and let T1+T2 be the time of the second success. We are told that the results of the two slots that follow the first success are failures, so that XT1+1=XT1+2=0. What is the conditional expectation of the second interarrival time, T2, given this information? (Recall that the expectation of a geometric random variable with parameter p is equal to 1/p.)

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