Is it accurate to state that "As far as capital is concerned, it is now through statistics that dead generations, or at least past events, weigh on the brains of the livi...

If the spare part of a cement mixer has the Weibull failure-time distribution with the parameters \(\alpha=\) \(0.001\) per hour and \(\beta=0.65\), find the probability ...

A transistor has a constant failure rate of \(0.005\) per ten thousand hours.(a) What is the probability that it will perform satisfactorily for at least 75,000 hours?(b)...

For a given product, suppose the probability of an initial failure (a failure prior to time \(t=\alpha\) ) is \(\theta_{1}\), the probability of a wear-out failure (a fai...

In some reliability problems we are concerned only with initial failures, treating a component as if (for all practical purposes) it never fails, once it has survived pas...