undefined

*** R STUDIO SOLUTION ONLY *** In an article, the authors suggest using a Weibull distribution to model the duration of a bake step in the manufacture of a semiconductor. Let T represent the duration in hours of the bake step for a randomly chosen lot. Suppose T has Weibull distribution with scale parameter 10 and shape parameter 1.40. a. What are the parameters of T? Is this a valid probability density function b. What is the probability that the bake step takes longer than 7 hours? Illustrate the desired probability on the pdf plot. Calculate the same probability using standard uniform transformation. c. What is the probability that the bake step takes between 2 and 8 hours? Illustrate the desired probability on the pdf plot. Calculate the same probability using standard uniform transformation. d. Calculate the mean time to failure, variance and standard deviation of T *** R STUDIO SOLUTION ONLY *** In an article, the authors suggest using a Weibull distribution to model the duration of a bake step in the manufacture of a semiconductor. Let T represent the duration in hours of the bake step for a randomly chosen lot. Suppose T has Weibull distribution with scale parameter 10 and shape parameter 1.40. a. What are the parameters of T? Is this a valid probability density function b. What is the probability that the bake step takes longer than 7 hours? Illustrate the desired probability on the pdf plot. Calculate the same probability using standard uniform transformation. c. What is the probability that the bake step takes between 2 and 8 hours? Illustrate the desired probability on the pdf plot. Calculate the same probability using standard uniform transformation. d. Calculate the mean time to failure, variance and standard deviation of T