R code please A gardener seeded 3 different colors of roses: white (theta white), red (theta red), and yellow(theta yellow) in a total of 45 (N=45). Out of 45, he observes that he will have 10 white, 30 red and 5 yellow roses. Using a Dirichlet ( alpha white =10, alpha red= 40, alpha yellow=10) prior, derive the posterior distribution for all thetas of given data and compute the expected values of these probabilities.

R code please A gardener seeded 3 different colors of roses: white (theta white), red (theta red), and yellow(theta yellow) in a total of 45 (N=45). Out of 45, he observes that he will have 10 white, 30 red and 5 yellow roses. Using a Dirichlet ( alpha white =10, alpha red= 40, alpha yellow=10) prior, derive the posterior distribution for all thetas of given data and compute the expected values of these probabilities.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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R code please

A gardener seeded 3 different colors of roses: white (theta white), red (theta red), and yellow(theta yellow) in a total of 45 (N=45). Out of 45, he observes that he will have 10 white, 30 red and 5 yellow roses. Using a Dirichlet ( alpha white =10, alpha red= 40, alpha yellow=10) prior, derive the posterior distribution for all thetas of given data and compute the expected values of these probabilities.

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