# What is wrong with the following statement of the central limit theorem? If the random variables X1,

## Question:

What is wrong with the following statement of the central limit theorem?

"If the random variables X1, X2, X3, ..., Xn are a random sample of size n from any distribution with finite mean μ and variance σ2, then the distribution of X.̅ will be approximately normal, with a standard deviation of σ/√n."

DistributionThe word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...

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## Quantitative Investment Analysis

**ISBN:** 978-1119104223

3rd edition

**Authors:** Richard A. DeFusco, Dennis W. McLeavey, Jerald E. Pinto, David E. Runkle