Question: Relating Random Variables Let X be a random variable, on [0, 1], with probability density function 2 1 _ 2 _ _ p(;1:) 53 +

Relating Random Variables

Let X be a random variable, on [0, 1], with probability density function 2 1 _ 2 _ _ p(;1:) 53 + 31': + 3 Let Y be a random variable on [2, 3], such that Y = X 2 + 2. Find the probability density function for Y

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