Review: Joint, Conditional, and Marginal Distributions: Discrete Example (Points Possible - Graded)Let X be a discrete Poisson random variable with parameter λ. Given X = x, let Y be the binomial random variable Binom(x, p), where p is the binomial parameter.Given X = x, what are the values that Y can take?Lower limit of Y given X = x:Upper limit of Y given X = x:Is E[Y | X = x] a linear function of x?YesNoWhat is E[Y]?Hint: Use the tower property of expectation (law of iterated expectation):
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