Statistics for Maintenance Modelling: Continuous Lifetime Distributions 1

# Analysing the Reliability of an Iron¤

The term is needed so that the probability density function integrates to 1 over the interval [0, ) i.e. the iron will eventually fail (and can only fail once!). A result from using calculus that is outside of this course gives the integral of f(t) as:

when a, b [0, ).

Hence the probability that an iron fails in its first year of use is:

And the probability that an iron fails in its third year of use is: