The number of defects per 10 meters of cloth produced by a weaving machine has the Poisson
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The number of defects per 10 meters of cloth produced by a weaving machine has the Poisson distribution with mean . You examine 100 meters of cloth produced by the machine and observe 71 defects.
(a) Your prior belief about is that it has mean 6 and standard deviation 2. Find a \(\operatorname{gamma}(r v)\) prior that matches your prior belief.
(b) Find the posterior distribution of given that you observed 71 defects in 100 meters of cloth.
(c) Calculate a \(95 \%\) Bayesian credible interval for .
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Related Book For
Introduction To Bayesian Statistics
ISBN: 9781118091562
3rd Edition
Authors: William M. Bolstad, James M. Curran
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