1. Suppose that the number of wildfires in a season is Poison distributed. We assume that the prior distribution of the parameter 1 of the Poisson distribution is Gamma(a, B) with density proportional to 19-1e-81 a Find the posterior distribution of 1. b) The choice of a = 10 and B = 0.5 seems reasonable. There have been 36 wildfires in the last two seasons. What is the posterior distribution of 1?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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1. Suppose that the number of wildfires in a season is Poison distributed. We assume that the prior distribution of the parameter 1 of the Poisson distribution is Gamma(a, B) with density proportional to 19-1e-81 a Find the posterior distribution of 1. b) The choice of a = 10 and B = 0.5 seems reasonable. There have been 36 wildfires in the last two seasons. What is the posterior distribution of 1?
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