e were n = 43 individuals released from incarceration and y = 15 re-offen months. You can use either the exact solution or approximation thro lo simulation. The Monte Carlo simulation can also be done in Stan. a Beta(2, 8) prior for p, plot the prior (p) as functions of p. the posterior distribution and plot the posterior (p|y) as functions o the posterior mean and standard deviation of p. a 95% quantile-based credible interval. ation) Repeat Exercise 1, but using a Beta(8, 2) prior for p.
e were n = 43 individuals released from incarceration and y = 15 re-offen months. You can use either the exact solution or approximation thro lo simulation. The Monte Carlo simulation can also be done in Stan. a Beta(2, 8) prior for p, plot the prior (p) as functions of p. the posterior distribution and plot the posterior (p|y) as functions o the posterior mean and standard deviation of p. a 95% quantile-based credible interval. ation) Repeat Exercise 1, but using a Beta(8, 2) prior for p.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:(Computation) Estimate the probability p of teen recidivism based on a study in
which there were n = 43 individuals released from incarceration and y = 15 re-offenders
within 36 months. You can use either the exact solution or approximation through
Monte Carlo simulation. The Monte Carlo simulation can also be done in Stan.
(a) Using a Beta(2, 8) prior for p, plot the prior (p) as functions of p.
(b) Drive the posterior distribution and plot the posterior (p | y) as functions of p.
(c) Find the posterior mean and standard deviation of p.
(d) Find a 95% quantile-based credible interval.
(Computation) Repeat Exercise 1, but using a Beta(8, 2) prior for p.
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