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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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Question

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 datan = 2, 3, 3, and 4 and y = 1, 2, 3 and 3.
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 T given y. Provide the numerical value of a.
Round your final answer to 4 decimal places.

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