Question

A system consisting of one original unit plus a spare can function for a random amount of time x. If the probability density function (PDF) of x is given (in units of months) by fx(x), what does this function represent?

A) The cumulative duration of both the original and spare units
B) The reliability of the original unit
C) The lifetime of the spare unit only
D) The distribution of time until system failure

Answer 1

The probability density function (PDF) represents the distribution of time until system failure.

Step-by-step explanation:

The probability density function (PDF) represents the distribution of time until system failure. In this case, the PDF fx(x) describes the random amount of time x that a system consisting of one original unit plus a spare can function. The PDF specifies the likelihood of different time durations until system failure, providing information on the possible outcomes and their probabilities.