Q26Comprehension3 Marks7 Aug 2022
Passage
Suppose the number of deceased people in a week because of a deadly disease in a country has the Poisson() distribution. A researcher wants to estimate . From studies in other countries, prior mean should be 3, and the prior standard deviation 1. He decides to use the Gamma(, ) prior that matches his prior mean and standard deviation. The number of deceased people recorded over the next 10 weeks are: 3, 5, 7, 0, 1, 7, 4, 9, 6, 4. Based on the above data, answer the given subquestions.
Find the posterior mean of for the given sample. Enter the answer correct to two decimal places.
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