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For X following a Chi-square distribution with degree of freedom m = 3, compute the following: Using r P(1 < X < 4) = E(X)
For X following a Chi-square distribution with degree of freedom m = 3,
compute the following: Using r
P(1 < X < 4) =
E(X) =
Var(X) =
Give your answers to at least four decimal places.
Also, use a Monte Carlo simulation with sample size n=100,000 to estimate
P(1 < X < 4). What is your Monte Carlo estimate? Does it agrees with the answer
above?
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