Suppose {T} is a sequence of continuous random variables for i € {1, 2, 3...}. Suppose the pdf of each Ti is given by, f

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Suppose T Is A Sequence Of Continuous Random Variables For I 1 2 3 Suppose The Pdf Of Each Ti Is Given By F 1 (650.12 KiB) Viewed 137 times

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.