Let ₁,...,, iid from N(u, o2) where o² is known. (a) Show that the Jeffreys prior for the normal likelihood is n(u) = C₁√n/0², μER for some constant c₁ > 0. (b) Is this a proper prior or improrer prior? Explain. (c) Derive the posterior density for u under the normal likelihood N(μ, o) and Jeffreys prior for u. Plot the density. (d) Simulate 1,000 draws from the posterior derived in (c) and plot a histogram of the simulated values. (e) Let = exp(μ). Find the posterior density of analytically and plot the density. (f) Estimate by Monte Carlo integration. (g) Compute a 95% equal tail interval for analytically and by simulation.

Evaluate x² 3 + 2y by replacing x with 5 and ywith -2. TARKOLECHAT GRAN 7 MAY 2000 -- Wanya Use the paperclip button below to attach files.

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If = 27- 67 + 2k and ỹ = 7+7-k, determine + 25. 6.

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List all of the possible ways to choose 2 different flowers from the list: daisy, orchid, petunia, tulip. Be systematic. Give some kind of justification. Justifications include verbal explanations of how you approached the problem or a list. An example of one way to choose 2 flowers from the list is daisy and orchid. Order does not matter so daisy/orchid and orchid/daisy are the same pair. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial XQ HQ ¶ "" Ω Θ P = = = X I!!! 10pt 用网 X₂ ள எ † A {;} +] < ABC T₂ 57 Ⓒ Ky O WORDS POWERED BY TINY