Question: S Let Yk, k 1, be OE0;1OE-valued random variables on a probability space . ;F; P/, and consider the events Which of these belong to

S Let Yk, k 1, be OE0;1OE-valued random variables on a probability space . ;F; P/, and consider the events

A = {k1 k < 00}. A3 = {infk>1 Yk < 1},

Which of these belong to the tail -algebra T .Yk W k 1/? Decide and give proofs.

A = {k1 k < 00}. A3 = {infk>1 Yk < 1}, A = {k1 k < 1}, A4 = {lim infk00 Yk < 1}.

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