Consider again the situation described in Example 7.2.8.

Chapter 7, Problem 1

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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)?

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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.

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