Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: L²=e, if 0 < x < ∞0 हैं, otherwise f(x)=2 Suppose that Y= ₁X₁. Use i) the moment generating function technique to find the probability distribution function of Y. Write down the density function of Y.

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A: It is an important part of statistics. It is widely used.

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