Generate all possible values for samples of size 3 from the

Generate all possible values for samples of size 3 from the given random variable. The pdf, f(x) is given below. Find the probability distribution of the sample means (X). Create a probability histogram of X. Find the mean and standard deviation of X. Find the exact probability that X is within 1 standard deviation, 2 standard deviations and 3 standard deviations of its mean. How does this agree with the predicted values of the Empirical Rule? Why do you these values agree or disagree?

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