Prove the statistical distance between random variables

[bhenchodd]

Hi fellow members, I would appreciate if you could help with the following problem, it has had me stumped!

Prove the statistical distance between random variables X & Y

Thank You, and have a great day!

 

[bhenchodd]

I know that dist(p, q) = max

maxEX |p(E)−q(E)| = p(E1)−q(E1) = q(E2)−p(E2);
dist(p, q) = p(E1) − q(E1) = q(E2) − p(E2).

 

[bhenchodd]

bumpp ...

 

[bhenchodd]

bumppp...