# Question on convergence in probability

• October 28th 2008, 05:07 AM
nidhalodeh
Question on convergence in probability
Dear All
Hello

I have one question on convergence in probability as attached, could u please help me to solve it

thank you
Nidhal
• October 28th 2008, 05:23 AM
HallsofIvy
If $x- y< \epsilon/2$ and $y- z< \epsilon/2$, then $x- z= (x- y)+ (y- z)< \epsilon$.
• October 28th 2008, 06:12 AM
nidhalodeh
clarification is needed
Dear HallsofIvy

x converge in probability to y does it mean x-y<epsilon/2