- #1
nikki92
- 40
- 0
Homework Statement
X is uniform [e,f] and Y is uniform [g,h]
find the pdf of Z=X+Y
Homework Equations
f_z (t) = f_x (x) f_y (t-x) ie convolution
The Attempt at a Solution
Obviously the lower pound is e+g and the upper bound is f+h
so it is a triangle from e+g to f+h. The tip of the triangle still in the center of the distribution i.e. .5[e+g+f+h)
so would the pdf be t for e+g< t < .5[e+g+f+h]
g+h - t for .5[e+g+f+h] <t <g+h
and 0 otherwise?