A shock absorber is a suspension component that controls the

A shock absorber is a suspension component that controls the up-and-down motion of a vehicle\'s wheels. The following data are n = 30 distance (in km) to failure for a certain brand of chock absorber under \"extreme\" driving conditions. Under a Weibull assumption for T = distance (in km) to failure calculate the maximum likelihood estimate beta and eta for the data above. Use these values (along with the Weibull assumption) to answer the following questions. Calculate P(T > 15000). Interpret what is this probability means in words. Find the 25th percentile of the distance to failure distribution. Interpret in words. Plot the estimated hazard function for T. Explain, in plain English, what information this graph reveals. Does the Weibull model seem reasonable for these data? Construct a Weibull qq plot. Interpret this plot. In the light of your answer here, how do you feel about the accuracy of our answer to parts (b), (c), and (d)?

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