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

## Question:

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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## Step by Step Answer:

**Related Book For**

## 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 EstimationSection: Exercises

Problem: 1

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