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For four pairs of a rare specimen of bird that nested last season, the number of eggs per nest n and the number of eggs hatched Y were observed, providing the data n = 2, 3, 3, and 4 and y = 1, 2, 3 and 3. Let r be the probability that an egg is hatched. Use a Beta(a = 1, B = 1) prior for T. Find the posterior distribution of T given y. Provide the numerical value of B,. %3D Round your final answer to 4 decimal places.

For four pairs of a rare specimen of bird that nested last season, the number of eggs per nest n and the number of eggs hatched Y were observed, providing the data n = 2, 3, 3, and 4 and y = 1, 2, 3 and 3. Let r be the probability that an egg is hatched. Use a Beta(a = 1, B = 1) prior for T. Find the posterior distribution of T given y. Provide the numerical value of B,. %3D Round your final answer to 4 decimal places.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For four pairs of a rare specimen of bird that nested last season, the number of eggs per nest n and the number of eggs hatched Y were observed, providing the data n = 2, 3, 3, and 4 and y = 1, 2, 3 and 3. %3D Let T be the probability that an egg is hatched. Use a Beta(a = 1, B = 1) prior for T. Find the posterior distribution of a given y. Provide the numerical value of B. Round your final answer to 4 decimal places.
Transcribed Image Text:For four pairs of a rare specimen of bird that nested last season, the number of eggs per nest n and the number of eggs hatched Y were observed, providing the data n = 2, 3, 3, and 4 and y = 1, 2, 3 and 3. %3D Let T be the probability that an egg is hatched. Use a Beta(a = 1, B = 1) prior for T. Find the posterior distribution of a given y. Provide the numerical value of B. Round your final answer to 4 decimal places.
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