'f X is either (a) Poisson with parameter 2, or (b) (1, 2), show that the distribution of Y(X-EX)/√var X approaches the N(0, 1) distribution as → ∞.(c) Show thate²^ ( 1 + ² + 1/² -+2!+77) →n!1NI2as n→∞.=

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Answered: = 'f X is either (a) Poisson with…

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= 'f X is either (a) Poisson with parameter λ, or (b) (1, 2), show that the distribution of Y (X-EX)/√var X approaches the N(0, 1) distribution as → ∞. (c) Show that === (1 + ~ + 1/² - + 2! +77) → n! 1 2 as no.