a) Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: f(x) = 2 0, if 0

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Chapter1: Combinatorial Analysis
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a)
Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the
following probability density function:
f(x) = 2
0,
if 0<x<∞0
otherwise
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.
Transcribed Image Text:a) Let X₁, X2, X3,..., X30 be a random sample of size 30 from a population distributed with the following probability density function: f(x) = 2 0, if 0<x<∞0 otherwise 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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