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JA } dw, c . Consider the sample space ( = [-1, 2] and for any A e B (Q), define the function P (A)

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JA } dw, c . Consider the sample space ( = [-1, 2] and for any A e B (Q), define the function P (A) = , where B (0) is the o-algebra generated by the openings of n. Define: CAT si n = 1, 3,5, ... An n-1 si n = 2, 4,6. ... (a) Is the sequence (An), convergent? Justify. (b) Calculate P (lim sup An) and P (lim inf An)

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