The life of automobile voltage regulators has an exponential distribution with a mean life of six years. You purchase an automobile that is six years old, with a working voltage regulator and plan to own it for three years. a) What is the probability that the voltage regulator fails during your ownership? Round the answer to 3 decimal places (e.g. 98.765). i b) If your regulator fails after you own the automobile three years and it is replaced, what is the mean time until the next failure? Enter the exact answer. years

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The life of automobile voltage regulators has an exponential distribution with a mean life of six years. You purchase an automobile
that is six years old, with a working voltage regulator and plan to own it for three years.
a) What is the probability that the voltage regulator fails during your ownership? Round the answer to 3 decimal places (e.g. 98.765).
i
b) If your regulator fails after you own the automobile three years and it is replaced, what is the mean time until the next failure?
Enter the exact answer.
years
Transcribed Image Text:The life of automobile voltage regulators has an exponential distribution with a mean life of six years. You purchase an automobile that is six years old, with a working voltage regulator and plan to own it for three years. a) What is the probability that the voltage regulator fails during your ownership? Round the answer to 3 decimal places (e.g. 98.765). i b) If your regulator fails after you own the automobile three years and it is replaced, what is the mean time until the next failure? Enter the exact answer. years
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