Question: Answer..... 13. Two machines have lifetimes that are exponentially distributed random variables with parameters >, and 12, respectively. If the two machines are put in

Answer.....

13. Two machines have lifetimes that are exponentially distributed random variables with parameters >, and 12, respectively. If the two machines are put in operation at the same time find: a. The CDF of the time 7' until a machine fails. b. The CDF of the time ?' until BOTH machines fail. c. Suppose that the two machines are still working until timet. Find the CDF of the time 7' that elapses until a machine fails. d. How your answers to the above points will be different if the lifetime of the two machines is uniformly distributed over the interval[a, b]

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