The life of an automotive component can be modeled by Weibull distribution α =6.2?105 and β =1.3. (i) Calculate the cumulative density function, F (t) Deming believes poor quality was not the fault of workers but as a result of poor management of systems for quality improvement. (ii) Do you agree with the statement? Why do you agree or disagree? (iii) Calculate the reliability function, R (t), and the hazard function, h (t) at the end of the rotating period of 36000 miles.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The life of an automotive component can be modeled by Weibull distribution
α =6.2?105 and β =1.3.
(i) Calculate the cumulative density
Deming believes poor quality was not the fault of workers but as a result of poor management of systems for quality improvement.
(ii) Do you agree with the statement? Why do you agree or disagree?
(iii) Calculate the reliability function, R (t), and the hazard function, h (t) at the end of the rotating period of 36000 miles.
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