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?

1 answer

a) P(x<3) = F(3)
= 1-e^((-1/6)(3))
=0.3934693403

b) E(X) = 6