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Suppose y1, y2 and z are conditionally independent random variables given y E (0, 1) which satisfy y1 y ~ Binomial(200, 7) yz y ~

Suppose y1, y2 and z are conditionally independent random variables given y E (0, 1) which satisfy y1 y ~ Binomial(200, 7) yz y ~ Binomial(20, 7) z y ~ Poisson(20). Assume y is drawn from Beta(2.0, 0.5). Find Pry

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