Let {X} be an IID sequence of random variables, distributed according to the exponential distribution Exp(A)....

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Let {X₂} be an IID sequence of random variables, distributed according to the exponential distribution Exp(A). Show that, n P ( X ²₂ (1+r)); ≥n i=1 exp (n[ln(1 + X€) - Aε]). Show that the bound is non-trivial or the RHS of the inequality is not equal to 1 for € > 0. (Hint: use Chernoff bound formulation.) Let {X₂} be an IID sequence of random variables, distributed according to the exponential distribution Exp(A). Show that, n P ( X ²₂ (1+r)); ≥n i=1 exp (n[ln(1 + X€) - Aε]). Show that the bound is non-trivial or the RHS of the inequality is not equal to 1 for € > 0. (Hint: use Chernoff bound formulation.)

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