, Let X1, X2, ,X, be a sequence of i.i.d. Bernoulli(p) random variables and let Y, = E X/n. Show that Vn(Yn - p) N(0, p(1 - p)) in distribution.

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w, Let X1, X2, …,X, be a sequence of i.i.d. Bernoulli(p) random variables
and let Y, = E X,/n. Show that
Vn(Y, - p) - N(0, p(1 - p)) in distribution.
Transcribed Image Text:w, Let X1, X2, …,X, be a sequence of i.i.d. Bernoulli(p) random variables and let Y, = E X,/n. Show that Vn(Y, - p) - N(0, p(1 - p)) in distribution.
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