Question: Let X1,...,Xn be a random sample from the beta distribution with parameters alpha and beta. The beta distribution spreads out probability over the interval 0

Let X1,...,Xn be a random sample from the beta distribution with parameters alpha and beta. The beta distribution spreads out probability over the interval 0 less than or equal to x less than or equal to 1. E(X) = (alpha)/(alpha + beta). V(X) = (alpha*beta)/[(alpha+beta)^2 * (alpha+beta+1)]. Show in as much deatil as you can how to find the method of moments estimators of alpha and beta. You do not need to actually find them

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