find bayes estimate and the proportion The time between failures of a machine ha
ID: 3431938 • Letter: F
Question
find bayes estimate and the proportion
The time between failures of a machine has an exponential distribution with parameter lambda . Suppose that the prior distribution for lambda is exponential with mean 100 hours. Two machines are observed, and the average time between failures is x = 1225 hours. (a) Find the Bayes estimate for lambda . (b) What proportion of the machines do you think will fail before 1000 hours? (a) lambda = [ ] [Round your answer to five decimal places.] (b) The proportion of the machines is [ ] [Round your answer to three decimal places.]Explanation / Answer
x bar =1225 hours
Hence lemda = Bayes estimator = 1225
b) Machines that fail before 1000 hours = 0.33
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