A certain type of novelty coin is manufactured so that 80% of the coins are fair while
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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 
Modern Mathematical Statistics With Applications
ISBN: 9783030551551
3rd Edition
Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton
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