Homework SourseSuppose that X is uniform on 2 3 and let Y X 1 Find the de
Suppose that X is uniform on [+2, 3] and let Y = |X + 1|. Find the density function of Y .
Solution
x is uniform on [2,3]
Hence pdf of x is 1, 2<=x<=3
As x is posiitive, x+1 is always positive
So Y = x+1 we can write
Y can take values from 3 to 4
Hence density funcion of Y
f(Y) = 1, 3<=y<=4
![Suppose that X is uniform on [+2, 3] and let Y = |X + 1|. Find the density function of Y .Solutionx is uniform on [2,3] Hence pdf of x is 1, 2<=x<=3 As x](/WebImages/14/suppose-that-x-is-uniform-on-2-3-and-let-y-x-1-find-the-de-1017704-1761526025-0.webp "Suppose that X is uniform on [+2, 3] and let Y = |X + 1|. Find the density function of Y .Solutionx is uniform on [2,3] Hence pdf of x is 1, 2<=x<=3 As x")
