Obtain the density function of the random


If X is random variable with distribution function F, with continuous non-vanishing density f, obtain the density function of the random variable Y = Xk, for an even integer k.

Hint: Express the probability of the event (Xk < y) in terms of the distri­bution function F of X and proceed from there.

 

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Basic Statistics: Obtain the density function of the random
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