Statistics for Maintenance Modelling: Continuous Lifetime Distributions 1

# Question 4¤

What is the probability density function of R(x) = x3 for 0 x 1? Click on one of the options below, then click on "Check Answer".

- x4/4.
- 3x2.
3 - 3x2.
None of these.
That's right, it's none of these because it's not a valid hazard function and so does not have a probability density function. This is because x3 is an increasing function so can't be a reliability function.
No, that's not right. It's none of these because it's not a valid hazard function and so does not have a probability density function. This is because x3 is an increasing function so can't be a reliability function.