The continuous random variable X has a density function fX(x) = 2x; 0 ≤ x ≤ 1. Let Y be a new random variable given by Y = g(X) = 3X −1. Find the probability density function fY for Y
Added by Dj M.
Step 1
First, we need to find the inverse function of g(X). Since Y = 3X - 1, we can solve for X in terms of Y: X = (Y + 1)/3. Let's call this function h(Y). Show more…
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