The density of a random variable X is given by Derive the density function of the random variables Y = Xa and Z = eX,

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Derive the density function of the random variables Y = Xa and Z = eX, where a is a given positive real number.

f(x)= { 1, 0, 0 x1, elsewhere.

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The density of a random variable X is given by Derive the density function of the random variables Y = Xa and Z = eX,

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