SOLVED: Suppose that the number of defects on a roll of magnetic recording tape has a Poisson distribution for which the mean λ is known to be either 1 or 1.5. Suppose the prior pmf for λ is: P(λ = 1) = 0.4, P(λ = 1.5) = 0.6. Suppose that we examine five tapes and find that the number of defects are T1 = 3, T2 = 12, T3 = 1, T4 = 8, and T5 = 2. Show that the posterior distribution for λ is: P(λ = 1) = 0.012, P(λ = 1.5) = 0.988.
SOLVED: Suppose that the number of defects on a roll of magnetic recording tap…
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