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Bayesian Statistics: You inject 5 mice with substances and record the number of mice that test positive for that substance. You ask 2 experts for their opinions. Expert 1 estimates the probability to be 0.95 with a standard deviation of 0.05. Expert 2 estimates 0.5 with standard deviation 1/12. What are these densities when translated into Beta density priors? Plot the posteriors under each experts prior if all 5 mice test positive.

Bayesian Statistics: You inject 5 mice with substances and record the number of mice that test positive for that substance. You ask 2 experts for their opinions. Expert 1 estimates the probability to be 0.95 with a standard deviation of 0.05. Expert 2 estimates 0.5 with standard deviation 1/12. What are these densities when translated into Beta density priors? Plot the posteriors under each experts prior if all 5 mice test positive.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Bayesian Statistics: You inject 5 mice with substances and record the number of mice that test positive for that substance. You ask 2 experts for their opinions. Expert 1 estimates the probability to be 0.95 with a standard deviation of 0.05. Expert 2 estimates 0.5 with standard deviation 1/12. What are these densities when translated into Beta density priors? Plot the posteriors under each experts prior if all 5 mice test positive.
Transcribed Image Text:Bayesian Statistics: You inject 5 mice with substances and record the number of mice that test positive for that substance. You ask 2 experts for their opinions. Expert 1 estimates the probability to be 0.95 with a standard deviation of 0.05. Expert 2 estimates 0.5 with standard deviation 1/12. What are these densities when translated into Beta density priors? Plot the posteriors under each experts prior if all 5 mice test positive.
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