You have just completed a reliability improvement test for anewly designed component to be used within a aero enginemanufactured by a big multinational company. This componentwent through 500 operational hours

of reliability improvementtesting and you estimated the parameters of a Power Law NHPPModel using this test data. Your estimates for the parameters ofthis model were a= 0.69 and b = 0.44. Using these estimates,what is the probability that there are a total of 5 failures by time66.7? Provide your answer to 3 decimal places.