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Suppose that (x 1……. x n ) is a sample from the Exponential(λ) distribution Determine the mode…

Suppose that (x1…….xn ) is a sample from the Exponential(λ) distribution Suppose that (x 1……. x n ) is a sample from the Exponential(λ) distribution Determine the mode... Determine the mode of posterior distribution of a future independent observation Xn+1. Also determine the posterior expectation of Xn+1 and posterior variance of Xn+1