Thread: finding the p.m.f

Let the pmf of X be defined by f(x)=6/((pi^2)(x^2)), x=1,2,3....

show that E(X) does not exist (Can you show that f(x) is a p.mf.?)

And I know that x^-2 converges to Pi^2/6 ..

Originally Posted by calculuskid1

Let the pmf of X be defined by f(x)=6/((pi^2)(x^2)), x=1,2,3....

show that E(X) does not exist (Can you show that f(x) is a p.mf.?)

And I know that x^-2 converges to Pi^2/6 ..

. Does this series converge ....?

Originally Posted by calculuskid1

Let the pmf of X be defined by f(x)=6/((pi^2)(x^2)), x=1,2,3....

show that E(X) does not exist (Can you show that f(x) is a p.mf.?)

And I know that x^-2 converges to Pi^2/6 ..

I assume you mean the sum converges to