Let X1,X2,X3,X4 be four iid random variables having the same pdf f(x)=2x, 0<x<1, zero elsewhere. Find the mean and variance of the sum Y of these four random variables. ??
Let X1,X2,X3,X4 be four iid random variables having the same pdf f(x)=2x, 0<x<1, zero elsewhere. Find the mean and variance of the sum Y of these four random variables. ??
I think you mean to say that ?
Thus,
Since they all have the same pdf, we can say that . Can you take it from here?
I got the mean = 8/3 which is right but the variance doesnt seem to be right. Following ur way the var comes out to be 2 but the answer should be 2/9. What's wrong with it?
I got the mean = 8/3 which is right but the variance doesnt seem to be right. Following ur way the var comes out to be 2 but the answer should be 2/9. What's wrong with it?
Woops...I forgot something...
So you would need to evaluate to get the variance (I multiplied the value by 4 because each r.v. has the same variance). It should be