- #1
Grobo
- 2
- 0
I need some help. Is there a good way to do this type of question?
Let X and Y be independent random Variables with exponential densities
fX(x) = Ωe-Ωx, if X≥0
0, otherwise
fY(y) = βe-βy, if y≥0
0, otherwise
Respectively, where η and β are positive real-valued constants.
1) Find the characteristic function ∅z of Z = X+Y
2) Find the probability density function fZ(z) of Z = X+Y
N/A
Homework Statement
Let X and Y be independent random Variables with exponential densities
fX(x) = Ωe-Ωx, if X≥0
0, otherwise
fY(y) = βe-βy, if y≥0
0, otherwise
Respectively, where η and β are positive real-valued constants.
1) Find the characteristic function ∅z of Z = X+Y
2) Find the probability density function fZ(z) of Z = X+Y
Homework Equations
N/A
Last edited: