Question: Solve the problem Question 11 (30 points) Saved In a Bayesian beta-binomial analysis of an inertial measurement unit A prior distribution uses a pi=.8 and

Solve the problem

Question 11 (30 points) Saved In a Bayesian beta-binomial analysis of an inertial measurement unit A prior distribution uses a pi=.8 and Nm=3. The small amount of test data on units delivered shows that out of a sample of 10 units that 9 performed correctly. a. What are the (mean, median & mode) for the posterior distribution? Mean =?, Median=?, Mode=? b. What is the probability that the population from which the sample of 10 units was taken has a reliability > 0.9? P{R>0.9} c. What is the 95% credible Interval (LCL, UCL)

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