(Answered) Consider the data set on mercury in lakes in maine hgtxt

Statistics

Consider the data set on mercury in lakes in Maine (Hg.txt). Model the Hg levels as independent exponential random variables given θ, and use the Jeffery's prior on the rate θ.

(a) Use a new y node to get the posterior predictive probability P(y > .5/ y_1,.... , y₁₂₀) (the probability of a dangerous mercury level) and also the extreme value P(y > 3.0/y₁, . . . , y₁₂₀).

(b) Compare the two probabilities above with the ones from the fitted exponential model and also with the empirical fractions from the data.

Attachment:- Hg.txt

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