Question: Suppose that the random variable X has a probability density function f(x) = 2x for 0 < x < 1. Find the probability density function

Suppose that the random variable X has a probability density function
f(x) = 2x
for 0 < x < 1. Find the probability density function and the expectation of the random variable Y in the following cases.
(a) Y = X3
(b) Y = √X
(c) Y = 1/(1 +X)
(d) K = 2X

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