Someone suggests that the lifetime T (in days) of a certain component can be modeled with the Weibull distribution with parameters alpha= 3 and beta = 0.01.
a. If you observed a component that lasted one day, would you find this model to be plausible? Explain.
b. If this model is correct, what is P (T is less than or equal to 90)
c. Based on the answer to part (b), if the model is correct, would 90 days be an unusually short lifetime? An unusually long lifetime? Explain.
d. If you observed a component that lasted 90 days, would you find this model to be plausible? Explain.