A certain type of novelty coin is manufactured so that 80% of the coins are fair while the rest have

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A certain type of novelty coin is manufactured so that 80% of the coins are fair while the rest have a .75 chance of landing heads. Let θ denote the probability of heads for a novelty coin randomly selected from this population.
a. Express the given information as a prior distribution for the parameter θ.
b. Five tosses of the randomly selected coin result in the sequence HHHTH. Use this data to determine the posterior distribution of θ.

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Related Book For  answer-question

Modern Mathematical Statistics With Applications

ISBN: 9783030551551

3rd Edition

Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton

Question Details
Chapter # 15- Introduction to Bayesian Estimation
Section: Exercises
Problem: 1
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Question Posted: August 28, 2023 06:16:23