Solution Found!
Consider again the situation described in Example 7.2.8.
Chapter 7, Problem 1(choose chapter or problem)
Consider again the situation described in Example 7.2.8. This time, suppose that the experimenter believes that the prior distribution of is the gamma distribution with parameters 1 and 5000. What would this experimenter compute as the value of Pr(X6 > 3000|x)?
Questions & Answers
QUESTION:
Consider again the situation described in Example 7.2.8. This time, suppose that the experimenter believes that the prior distribution of is the gamma distribution with parameters 1 and 5000. What would this experimenter compute as the value of Pr(X6 > 3000|x)?
ANSWER:Step 1 of 3
Using the fact that the prior distribution of parameter follows gamma distribution with parameters 6 and 5000 , the posterior distribution of follows the same distribution with parameters and , where is the sum of the observed values.