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.

14 . 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 H ( t ) = [ 1 ( T )aT = a ) Calculate the hazard function * ( + ) . 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