Question: The time in months until a new bus must be brought into the repair center for service follows a Weibull law with cumulative hazard function.
a) Calculate the hazard function lamda(t). Is this an aging or burn-in or constant hazard system?. Explain.
b) Calculate the probability that a new bus will not require repair in the first 6 months.
I am struggling with this question recently. I am quite lost at Weibull law. If possible, could you explain how you solve the question and how you figure out suitable formulas for the problem. I am reviewing for my upcoming test, so I am looking to getting the answer as soon as possible. Thanks in advance.
Question: The time in months until a new bus must be brought into the repair center for service f...
Let the random variable T be the time until some event occurs (e.g. time until an atom decays, time until next rainfall, etc). Suppose it’s a continuous random variable supported on [0, ∞). The hazard rate for T is defined as h(t) = f(t) 1 − F(t) , where f and F are the density and CDF for the distribution of T. On an intuitive level, this is the chance that the event will occur in the very near future,...