= Zn be a Poisson random variable with parameter = n. Let Yn = (Zn-n)/√n. Show t Yn converges in distribution to a standard normal random variable Z~ N(0, 1). Note t the mgf of Zn is m(t) = en(et-1) and the mgf of Z is et²/2

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t Zn be a Poisson random variable with parameter = n. Let Yn = (Zn-n)/√n. Show
at Yn converges in distribution to a standard normal random variable Z~ N(0,1). Note
at the mgf of Zn is m(t) = en(et-1) and the mgf of Z is et²/2.
Transcribed Image Text:t Zn be a Poisson random variable with parameter = n. Let Yn = (Zn-n)/√n. Show at Yn converges in distribution to a standard normal random variable Z~ N(0,1). Note at the mgf of Zn is m(t) = en(et-1) and the mgf of Z is et²/2.
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