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5 Exercise 5. (15 points) The aim of this exercise is to prove Booke's Inequal- ity : Consider the sequence of the sample subsets Aj,

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Exercise 5. (15 points) The aim of this exercise is to prove Booke's Inequal- ity : Consider the sequence of the sample subsets Aj, Az, Ay, ".. and let Fi = At, Fam A2Af. F3 - AsdfAS. .... in general Fa = An APASAS ... AS A . Show that (a) F. C An, and Fa are mutually disjoints (b) Up, Al - Up, F. (c) P(UP, A;) = P(UP, F.) SEX, P(A.)

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