Mathematics · Bayesian Inference
Suppose X|λ ~ Poisson(λ) where λ > 0. Consider an exponential distribution with mean 1/4 as the prior distribution for λ. If the observed value of X is 0, then which among the following is the 95% Bayesian credible interval for λ of the smallest length?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(0.2 - c, 0.2 + c) where c = log(20)5
- 2(c, ec) where c = log(20)5
- 3(0, c) where c = log(20)5✓
- 4(0, c) where c = 0.95
Correct answer
(0, c) where c = log(20)5
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