Question: If the probability density of X is given by Where k is an appropriate constant, find the probability density of the random variable Y =

If the probability density of X is given by

Where k is an appropriate constant, find the probability density of the random variable Y = 2X / 1+ 2X . Identify the distribution of Y, and thus determine the value of k.

kx3 f)+2x for rs 0 elsewhere

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