It is said that a random variable X has an increasing failure rate if the failure rate

Question:

It is said that a random variable X has an increasing failure rate if the failure rate h(x) defined in Exercise 18 is an increasing function of x for x > 0, and it is said that X has a decreasing failure rate if h(x) is a decreasing function of x for x > 0. Suppose that X has the Weibull with parameters a and b, as defined in Exercise 19. Show that X has an increasing failure rate if b > 1, and X has a decreasing failure rate if b < 1.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...