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MAS3301 Bayesian Statistics Problems 3 and Solutions

MAS3301 Bayesian Statistics Problems 3 and Solutions

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(f) Plot a graph showing the prior and posterior probability density functions of on the same axes. (g) Find the posterior probability that <0:6: Notes: The probability density function of a beta(a;b) distribution is f(x) = kxa 1(1 x)b 1 where kis a constant. If X˘beta(a;b) then the mean of Xis E(X) = a a+ b and the variance of Xis var(X) = ab

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