(book 1.20) Show that, if E1, E2, ..., Ex are mutually independent, then so are Ēj, Ē2, ..., Ēk. Which of the following

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Book 1 20 Show That If E1 E2 Ex Are Mutually Independent Then So Are Ej E2 Ek Which Of The Following 1 (43.85 KiB) Viewed 153 times

(book 1.20) Show that, if E1, E2, ..., Ex are mutually independent, then so are Ēj, Ē2, ..., Ēk. Which of the following arguments proves the claim? (A 1 B means A, B are independent). (a) Ilie PrcĒ;) = [1/(1 – Pr(E;)) = 1 – Pr (U, E;) = Pr(U, E;) = Pr (n; Ē;) (b) E; IE; Ē; 1 Ē; for i, jel = claim (c) Pr(Ē;) = (1 - Pr(E;)) = liel Pr(Ē;) = Pr( i E;) (d) Pr(Uiel E;) = Liel Pr(E;) for disjoint events = liel Pr( Ē;) = Pr(n; Ē;) (e) none of these