Question 776277: A power station has two generators, each failing with probability of 5% in a year, independently from one year to the next. Assuming failure of a generator is independent of each other and between each year, what is the probability of both generators failing in the same year at least once in a ten year period?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A power station has two generators, each failing with probability of 5% in a year, independently from one year to the next. Assuming failure of a generator is independent of each other and between each year, what is the probability of both generators failing in the same year at least once in a ten year period?
-----------
P(both fail in one year) = 0.05^2 = 0.0025
-----------
Binomial Problem with n = 10 and p(both fail) = 0.0025
-----------
P(1<= x <=10) = 1-P(x=0) = 1 - 0.9975^10 = 0.0247
=====================================================
Cheers,
Stan H.
===========
|
|
|
