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6. The life of automobile voltage regulators has an exponential distribution with a mean life of 6 years. You purchase a 6-year-old automobile with a

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6. The life of automobile voltage regulators has an exponential distribution with a mean life of 6 years. You purchase a 6-year-old automobile with a working voltage regulator and plan to own it for 6 years. a. (5 points) What is the probability that the voltage regulator fails during your ownership? b. (5 points) If your regulator fails after you own the automobile 3 years and it is replaced, what is the mean time until the next failure? an, M

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