Question: Let X be a random variable with probability density function (a) Find the posterior probability density n(0|A = x). (b) Find the Bayes decision rule.

Let X be a random variable with probability density function

fx(x|0) and let (0) x = 0,1,... x! = 1 T(a) 00,

(a) Find the posterior probability density n(0|A" = x).

(b) Find the Bayes decision rule.

(c) Show that the maximum-likelihood estimator is not a Bayes rule.

fx(x|0) and let (0) x = 0,1,... x! = 1 T(a) 00, a > 0, > 0.

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