Question: Expectations and convergence in probability 3 points possible (graded) Let (Tn),121 be a sequence of r.v.s such that for each n, Tn takes only two

Expectations and convergence in probability 3 points possible (graded) Let (Tn),121 be a sequence of r.v.s such that for each n, Tn takes

only two possible values 0 and 2" with the following probabilities: l

Expectations and convergence in probability 3 points possible (graded) Let (Tn),121 be a sequence of r.v.s such that for each n, Tn takes only two possible values 0 and 2" with the following probabilities: l n n 1 P (Tn = 2 ) = _ n Does the sequence (Tn)n>1 converge in probability to a constant? If 30, enter the limiting value; if not, enter DNE. P Tn> Compute E [Tn] in terms of n. E [Tn] =

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