Question

Please any help would be appreciated

Assume the following theorem: If R.V.'s X1, X2, ..., Xn are independent and uniformly bounded (i.e. JM > 0) such that the P(|X1| > M) = 0 and limn+_ V(Yn) = limn+oV(S1_, Xk) = ), then the distribution of the standardized mean of X; approaches the stan dard normal distribution. Now, consider the sequence of independent random variables (Xk) =1, and assume each has uniform density 1 0 < xk < fk(xk) = { 2 - 1 10 otherwise. Use the theorem to show that the central limit theorem holds.

Answer 1

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