8-11. Let X1,X2, and X3 depict sample random variables drawn from a population with probability density function

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8-11. Let X1,X2, and X3 depict sample random variables drawn from a population with probability density function f (x) = 2e−2x, 0 ≤ x < +∞.

What is the joint probability density function of these random variables?

What is its generalization to a random sample of size n? What is the moment-generating function of Y = X1 + X2 + X3?

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