Suppose {T} is a sequence of continuous random variables for i € {1, 2, 3...}. Suppose the pdf of each Ti is given by, f
Posted: Sun Jul 10, 2022 10:23 am
Suppose {T} is a sequence of continuous random variables for i € {1, 2, 3...}. Suppose the pdf of each Ti is given by, fi(x) = [ 2i – 2ix, x ∈ [0,1/ - X 0, otherwise Let g: R → R be the function, g(t) = t² — et + et². Prove that the probability limit of g (T;) as i→∞ is O. You may use the fact that g is continuous.