Bernoulli random variables and mean, variance, and standard deviation — Krista King Math | Online math help

Bernoulli & Binomial Random Variables - Data Science Discovery

SOLVED: Let Xi, X2, ..., Xn be i.i.d. Bernoulli random variables with unknown parameter p ∈ (0,1).Find a function Tnp(Xn), which depends on X1, X2, ..., Xn, and p, such thatTnp(x)   N(0,1) as n → ∞by using the Central Limit Theorem on Xn and substituting any occurrence of p in the variance by a plug-in estimator for p.Note: If Xn   N(0,1), then so does Tnp. For this problem and the next part, use the expression for Tnp(Xn) that is of the form (Xn - p) / √(f(n,Xn)), where f(n,Xn) is alway