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5. Consider an experiment in which the sample space Ω is precisely the real line 9t -(-00,00). Let B denote the Borel σ-algebra on the sample space Ω, ie., B is the σ-algebra generated by all the open intervals of the form (a,b), for-oo 〈 a 〈 b〈00, (a) Show that 3 contains all closed intervals of the form lp,91 for all-oo 〈 pくqく00, (b) Show that B contains all finite collections {xi,x2, - .. ,xn) of n distinct real numbers, for any value n 2 1 of the integer n.

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