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7 prfx Pi PJ i I i oprcx E nP Aside Var X l p Letz np is - PDF document

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  1. Zoo of r v s 7 f Bercp I w prob p Bernoulli p Z l p O has dish of 2 Van F 2 p Tp p n'iodintosses Xv Binfn p Binomial hip dit's in each w prob p of up H's coming X X Xn Xi tXzt Beep Xi's are mutually indep 0 1,2 X takes valves gh 7 prfx Pi PJ i I i oprcx E nP Aside Var X l p Letz np is a.ru I Vm X pVafXDtVafX PrCZ t tVaCXY a ac Rangek Xi's because are mutually indef Pr Xia Cb F Fx a monotone fr 1 from o to Van X7y2 Von Vanya Xd and 42 areindep X Ryan indep

  2. Ex bit network string sending a over a bit with prob p each corrupted independently Bin nip corrupted bits 5 106 O n 10 corrupted bits p exp of n oeylage cast hp n I 2 4 1 1 1 Prob ever.it many guen tiny interval intervals ish p events indep hp events t I xtxf n Pr c p X e o if tiny very e Pn EP tetra a e Pr npci pj hnpe.PH XI Y p Ci p in ripe a re 2 pace p5 Ige Prats Xv Binh p A e ik lem PrCX HSN a hp

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  4. given event A Conditional expectation of X a PRIX F XIA A a ac Rage Law of Total Expectation E Xl A tECxIA PrfA F X PRCA Pf Ergot PrY Efx Law g Fal prob ELN Pr X xlA Prm tPrCX xfE PRIED µ j a

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