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 two years. a) What is the probability that the voltage regulator fails during your ownership? Round the answer to 3 decimal places (e.g. 0.987). 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.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 33E: Sick leave probability that a given worker at Dyno Nutrition Will call in sick on a Monday is 004....
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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 two years.
a) What is the probability that the voltage regulator fails during your ownership? Round the
answer to 3 decimal places (e.g. 0.987).
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:Current Attempt in Progress 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 two years. a) What is the probability that the voltage regulator fails during your ownership? Round the answer to 3 decimal places (e.g. 0.987). 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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