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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 42E
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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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