Homework Statement
Suppose X and Y have joint density f(x,y)=2 for 0<y<x<1. Find P(X-Y>z)
According to the textbook the answer should be (1-z)^{2}/2
Homework Equations
The Attempt at a Solution
\int \int 2dxdy
for x=[0, z+y] and y=[0,1]
=\int 2(z+y) dy
=2z+1
since we...
Homework Statement
Suppose X has an exponential with parameter L and Y=X^(1/a).
Find the density function of Y. This is the Weibull distribution
Homework Equations
The Attempt at a Solution
X~exponential (L) => fx(s)= Le^(-Ls)
Fx(s)=P(X<s) = 1-e^(-Ls)...