Question: Q6. Write an R-code (no need to run and find the result) for the following. Generate first o2 ~ IG(10,2.5), and then () ~ N(4.1,

Q6. Write an R-code (no need to run and find the

Q6. Write an R-code (no need to run and find the result) for the following. Generate first o2 ~ IG(10,2.5), and then () ~ N(4.1, 02/20). Using these values, generate 5000 Monte Carlo values from the density p(y| 0,0%) = 0.45 dN (y| 0,0) +0.55 dN (y | 20,20). Using these 5000 values, find a 90 % confidence interval for a new value of y. Here IG and N denote inverse-gamma and normal distributions; IN denotes the normal density. (10 points) Q6. Write an R-code (no need to run and find the result) for the following. Generate first o2 ~ IG(10,2.5), and then () ~ N(4.1, 02/20). Using these values, generate 5000 Monte Carlo values from the density p(y| 0,0%) = 0.45 dN (y| 0,0) +0.55 dN (y | 20,20). Using these 5000 values, find a 90 % confidence interval for a new value of y. Here IG and N denote inverse-gamma and normal distributions; IN denotes the normal density. (10 points)

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