- 5 A Random Sample Of Size 5 Is Taken From A Poisson Distribution With Mean 1 The Prior For 1 Is Taken As P X 0 2 G 1 (83.81 KiB) Viewed 17 times
5. A random sample of size 5 is taken from a Poisson distribution with mean 1. The prior for 1 is taken as p(x) = 0.2. G
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5. A random sample of size 5 is taken from a Poisson distribution with mean 1. The prior for 1 is taken as p(x) = 0.2. G
5. A random sample of size 5 is taken from a Poisson distribution with mean 1. The prior for 1 is taken as p(x) = 0.2. Gamma 28, 4) + 0.8. Gamma(9,3) (a) Calculate the prior mean and variance [2 MARKS] 5 i= 2 (b) If -1 Yi = 29, show that the posterior distribution of l can be written as 0.595961 · Gamma(57,9) + 0.404039 · Gamma(38,8), and calculate its mean. [6 MARKS] . Total: 60 MARKS
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