(10 points) Let ynumber of patients to seek medical care at a particular urgent care facility...
(10 points) Let ynumber of patients to seek medical care at a particular urgent care facility in a one day period, and assume that, conditionally on θ, y has a Poisson(θ) distribution, so that E(y|θ) var(y(9) t θ ~ Gamma(α, β), where α > 0 and β > 0 are both fixed and known. -0. Further suppose tha Find the prior predictive mean and variance for the number of patients today, E(y) and var(y)