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Consider a Poisson process for which events occur at a rate of 1.5/hr, letT1be the time in hours to the 1st event, and letT3be the

Consider a Poisson process for which events occur at a rate of 1.5/hr, letT1be the time in hours to the 1st event, and letT3be the time in hours to the 3rd event. (Note:T3is the total time (from time 0) to the 3rd event, not the time between the 2nd and 3rd events.)

  1. (a)What is the value ofP(T1>2)?
  2. (b)What is the value ofP(T33)?

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