Your friend grabs a die at random from a drawer containing two 4-sided dice, one 8-sided die, and one 12-sided die. She rolls the die once and reports that the result is 5. (a) Make a discrete Bayes table showing the prior, likelihood, and posterior for the type of die rolled given the data. (b) What is the prior predictive probability of rolling a 5?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Your friend grabs a die at random from a drawer containing
two 4-sided dice, one 8-sided die, and one 12-sided die. She rolls the die once and reports
that the result is 5.
(a) Make a discrete Bayes table showing the prior, likelihood, and posterior for the type of
die rolled given the data.
(b) What is the prior predictive probability of rolling a 5?
Transcribed Image Text:Your friend grabs a die at random from a drawer containing two 4-sided dice, one 8-sided die, and one 12-sided die. She rolls the die once and reports that the result is 5. (a) Make a discrete Bayes table showing the prior, likelihood, and posterior for the type of die rolled given the data. (b) What is the prior predictive probability of rolling a 5?
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