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Suppose a random sample x_1,....,x_100 is generated from the chi-square distribution with degrees of freedom 3. Let x be the sample average, i.e., x =(x_1++x_100)/100

Suppose a random sample x_1,....,x_100 is generated from the chi-square distribution with degrees of freedom 3. Let x be the sample average, i.e., x =(x_1++x_100)/100 . Please calculate var(x ) using Monte Carlo simulation. suggest the steps of your Monte Carlo simulation, and the value of var(x ) calculated by the MC simulation in R. please do not use chat gpt

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