5.7 Appendix: Using R for Sampling Distributions
5.7.1 Simulations using a Discrete Distribution Let us first consider a simulation example that illustrates Var(X¯) = σ2/n. Consider a discrete random variable with probability function given by the following. x p(x) 1 0.6 3 0.3 5 0.1 By using the methods from Sections 3.6 and 3.7, we find that E(X) = 2.0 and Var(X) = 1.8.
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