An automobile engine has four belts, each showing the identical wear-out effect with a Weibull shape parameter of 1.34. However, their scale parameters are 2500, 3400, 8000, and 6100 operating hours. (a) If the automobile is new, determine the probability of a belt failure on a 72-hr trip. (b) If the car (with the belts) has had 4000 hr of use, what is the probability of a belt failure during the next 72 hr of use?

MATLAB: An Introduction with Applications
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An automobile engine has four belts, each showing the identical wear-out effect with a
Weibull shape parameter of 1.34. However, their scale parameters are 2500, 3400,
8000, and 6100 operating hours. (a) If the automobile is new, determine the probability
of a belt failure on a 72-hr trip. (b) If the car (with the belts) has had 4000 hr of use,
what is the probability of a belt failure during the next 72 hr of use?
Transcribed Image Text:An automobile engine has four belts, each showing the identical wear-out effect with a Weibull shape parameter of 1.34. However, their scale parameters are 2500, 3400, 8000, and 6100 operating hours. (a) If the automobile is new, determine the probability of a belt failure on a 72-hr trip. (b) If the car (with the belts) has had 4000 hr of use, what is the probability of a belt failure during the next 72 hr of use?
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