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Let two random variables X and Y satisfy Y |X = x ∼ Poisson (λx) for...

Let two random variables X and Y satisfy Y |X = x ∼ Poisson (λx) for all possible values x from X, with λ being an unknown parameter. If (x1, Y1), ...,(xn, Yn) is a random sample from the random variable Y |X = x, construct the estimator for λ using the method of maximum likelihood and determine its unbiasedness.

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