Question #27039

1. If $ is a sample space, discuss U(A) where U is a set functions.

2. show that probability as a measure is finitely additive.

3. proof that lim sup Xn = -lim inf(-Xn)

4. let (V,W) be a measurable space and let P1,P2, .... be a sequence of probability measures defined on W. consider the function defined on W by

P(E) = sum (1/z)Pn(E), for n= 1,2,...... show that P(E) is a probability measure

2. show that probability as a measure is finitely additive.

3. proof that lim sup Xn = -lim inf(-Xn)

4. let (V,W) be a measurable space and let P1,P2, .... be a sequence of probability measures defined on W. consider the function defined on W by

P(E) = sum (1/z)Pn(E), for n= 1,2,...... show that P(E) is a probability measure

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