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- i.i.d. X1, · , Xn Uniform(0, 0). .. Find | X(1)+X(2)] ELet f(x) = 1+ x² + x4 + •…+ x²k (k € Z+ u {0}). For what value of k, mean value of f (x) is on [-1,1] ? 23 15 A) k = 1 B) k = 2 C) k = 3 D) k = 4 E) k = 5 %3DWhich of the following is the autocorrelation function Rz (t1, t2) of a Poisson Random process with an arrival rate A? (assume t2 > t1) a. Rz(t1, t2) = X²t;+ At1 b. R (t1, t2) = 1²t;t2 + Atq c. Rz (t1, t2) = X²t} + Atz d. Ra (t1, t2) = ²tyt2 + At1
- Let {Xi} from i to n be IID from Bernoulli(p). Find the MQ estimator of p.Given that Z - N(O, 1) use tables to evaluate correct to three decimal places then P(1.24 < Z < 2.36)=1 of 2 NDIX 2 Tables VV N VV O V O N 1357 1078 0858 5838 38086 27NR2 32588 85988 38988 871 ööööö ooooo ooooo Ooo OOO ooooo ܘܘ ooooo 0630 ooooo 0594 0582 0571 4394 .4406 6990 ooooo 00000 ooooo 8790 0537 1162 85833 3868985833 0526 0516 0505 4484 4495 1379 ooooo
- Use Itô Isometry To Calculate The Variance Of Each Of The FollowingD5)Let X₁,..., Xn be a random sample from a geometric distribution, X~ GEO(p). Here, -1 P[X = x] = p(1 − p)*−¹ for x = The method of moments unbiased estimator for Var [X] None of the other answers ·Σ" (X; – X)² i= X² n 1 [X² -x] = 1, 2,... n+1 = 1-p p² is